Finding the Third Proportional to 983,200 and 1,483,824
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Solution
The third proportional to 983,200 and 1,483,824 is: 2,239,354.82
Step by Step Solution
- Step 1: Write the proportion equation
983,200 : 1,483,824 = 1,483,824 : x - Step 2: Convert to fraction form
983,200/1,483,824 = 1,483,824/x - Step 3: Cross multiply
983,200x = 1,483,824 × 1,483,824 - Step 4: Simplify right side
983,200x = 2,201,733,662,976 - Step 5: Solve for x
x = 2,201,733,662,976/983,200 - Step 6: Final answer
x = 2,239,354.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.