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Your Ad Here Dodge County, Georgia Dodge County is a county located in the U.S. state of Georgia. The 2005 Census Estimate shows a population of 19,574. The county seat is Eastman. History The county was named for William Earl Dodge, an U. S. representative from New York and earlier a supporter of peace before the breakout of the American Civil War. It was created on October 26, 1870. ![]() |