>>>
>>> import itertools as it
>>> a, d, b, g, e, c, f = range(7)
>>> for s in it.permutations(range(1, 10), 7):
    if s[a]*s[b]*s[c] == s[b]*s[g]*s[e] == s[d]*s[e]*s[f]:
        print s


(1, 3, 9, 2, 4, 8, 6)
(1, 6, 9, 2, 4, 8, 3)
(3, 1, 4, 2, 9, 6, 8)
(3, 8, 4, 2, 9, 6, 1)
(6, 1, 4, 2, 9, 3, 8)
(6, 8, 4, 2, 9, 3, 1)
(8, 3, 9, 2, 4, 1, 6)
(8, 6, 9, 2, 4, 1, 3)
>>>