Harrington threw for 192 yards and the touchdown, completing 19 of 26 passes.
Warrick Dunn ran for 89 yards and one touchdown for the Falcons (3-6), who have now won two in a row. Dunn added three receptions for 51 yards.
Vinny Testaverde overcame an ankle injury to complete 13 of 28 passes for 153 yards as the Panthers (4-5), lost their third straight game.
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