To solve this problem, we need to divide Amir's total amount of $4,600,000 among his three children: Mustafa, Khalil, and Faisal, in the given ratio of 3:5:6.
First, let's find the total number of parts in the ratio:
Total parts = 3 + 5 + 6 = 14
Next, we'll determine the value of one part by dividing the total amount by the total number of parts:
Value of one part = 14 4 , 600 , 000 β = 328 , 571.43
Now, we can find out how much Khalil will receive. Khalil's share is 5 parts, so:
Khalilβs share = 5 Γ 328 , 571.43 = 1 , 642 , 857.15
However, to answer the multiple-choice question, we need to round Khalil's share to the nearest dollar. Thus, Khalil gets approximately $1,642,857.
So, the correct answer is D β , which is approximately $1,642,857.