Explain the Pattern - Part 3

We have 12×23=276 12 \times 23 = 276 . If we reverse the numbers, we get 672=32×21 672 = 32 \times 21 , which is still a true statement.

Does there exist non-palindromes abc \overline{abc} and def \overline{def} such that

abc×def=ghijk \overline{abc} \times \overline{def} = \overline{ghijk} and kjihg=fed×cba \overline{kjihg} = \overline{fed} \times \overline{cba} ?

Note: The letters do not represent distinct digits.
The first digit is non-zero.
Non-palindromes mean that ac a \neq c and df d \neq f .

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