MO Z6-6-1

Write integers greater than 1 to the blanks in the following figure, so that each darker box was product of the numbers in the neighboring lighter boxes. What number is in the middle box?

Correct result:

x =  245025

Solution:

$$\begin{gathered} 55=5\cdot 11 \\ 99=9\cdot 11 \\ 45=5\cdot 9 \\ x=45\cdot 99\cdot 55=245025 \end{gathered}$$

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