User blog comment:Top Agent PGG jr./Guess the number! (Round 2)/@comment-27403314-20140619020327


 * If first digit is 3
 * If second digit is 4
 * 3429716
 * If second digit is 6
 * None
 * If second digit is 7
 * None
 * If second digit is 9
 * None
 * If first digit is 4
 * If second digit is 3
 * 4329716
 * If second digit is 6
 * 4623719
 * If second digit is 7
 * 4729316
 * If second digit is 9
 * 4923716
 * If first digit is 7
 * If second digit is 3
 * None
 * If second digit is 4
 * 7429316
 * If second digit is 6
 * None
 * If second digit is 9
 * None

So with a total of 6 possibilities, these are the only possible answers, which I will guess are:
 * 3429716
 * 4329716
 * 4623719
 * 4729316
 * 4923716
 * 7429316