"Chapter 35—Approaching Doom The first years of Jehoiakim's reign were filled with warnings of approaching doom. The word of the Lord spoken by the prophets was about to be fulfilled. The Assyrian power to the northward, long supreme, was no longer to rule the nations. Egypt on the south, in whose power the king of Judah was vainly placing his trust, was soon to receive a decided check. All unexpectedly a new world power, the Babylonian Empire, was rising to the eastward and swiftly overshadowing all other nations. PK 422"
"For, lo, I raise up the Chaldeans, that bitter and hasty nation, which shall march through the breadth of the land, to possess the dwellingplaces that are not theirs."
Both passages discuss the rise of the Babylonian (Chaldean) Empire as a significant world power and a threat to Judah. Habakkuk 1:6 specifically mentions the Chaldeans being raised up by God, while EGW describes the Babylonian Empire's rise and its impact on Judah. The connection is thematic and relevant.
"Within a few short years the king of Babylon was to be used as the instrument of God's wrath upon impenitent Judah. Again and again Jerusalem was to be invested and entered by the besieging armies of Nebuchadnezzar. Company after company—at first a few only, but later on thousands and tens of thousands— were to be taken captive to the land of Shinar, there to dwell in enforced exile. Jehoiakim, Jehoiachin, Zedekiah —all these Jewish kings were in turn to become vassals of the Babylonian ruler, and all in turn were to rebel. Severer and yet more severe chastisements were to be inflicted upon the rebellious nation, until at last the entire land was to become a desolation, Jerusalem was to be laid waste and burned with fire, the temple that Solomon had built was to be destroyed, and the kingdom of Judah was to fall, never again to occupy its former position among the nations of earth. PK 422.2"
"In his days Nebuchadnezzar king of Babylon came up, and Jehoiakim became his servant three years: then he turned and rebelled against him."
Both passages describe Nebuchadnezzar's siege of Jerusalem and the subsequent captivity of the Jewish people. EGW provides a broader historical overview, while the Kings verse focuses on a specific event. The connection is thematic and historical.