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You don't get it corrected.  If you meet all the qualifications to claim the child, as listed in the answer below, you file a return claiming the child.  If the other person already e-filed claiming the child, you will have to file on paper and by mail.  The IRS will review both returns and make a decision as to who gets to claim the child.  The person who did not qualify WILL HAVE TO PAY BACK ANY REFUND RECEIVED for the dependent.  They'll contact you by mail but it will take up to a year, possibly longer.