Finding the Third Proportional to 465,612 and 1,016,517
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Solution
The third proportional to 465,612 and 1,016,517 is: 2,219,244.37
Step by Step Solution
- Step 1: Write the proportion equation
465,612 : 1,016,517 = 1,016,517 : x - Step 2: Convert to fraction form
465,612/1,016,517 = 1,016,517/x - Step 3: Cross multiply
465,612x = 1,016,517 × 1,016,517 - Step 4: Simplify right side
465,612x = 1,033,306,811,289 - Step 5: Solve for x
x = 1,033,306,811,289/465,612 - Step 6: Final answer
x = 2,219,244.37
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.