The ones digit of 59 is 9.
Multiplying the ones digit by 853: \[ 9 \times 853 = 7677 \]
So, the first blank is 7677.
The tens digit of 59 is 5.
Multiplying the tens digit by 853: \[ 5 \times 853 = 4265 \]
So, the second blank is 4265.
Now, the product of the results from the first two calculations: \[ 7677 \times 4265 = 32,753,205 \]
So, the third blank is 32,753,205.
Putting it all together: The product of multiplying the ones digit of 59 by 853 is 7677. The product of multiplying the tens digit of 59 by 853 is 4265. The product is 32,753,205.