Finding the Third Proportional to 527,744 and 1,029,082
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Solution
The third proportional to 527,744 and 1,029,082 is: 2,006,673.24
Step by Step Solution
- Step 1: Write the proportion equation
527,744 : 1,029,082 = 1,029,082 : x - Step 2: Convert to fraction form
527,744/1,029,082 = 1,029,082/x - Step 3: Cross multiply
527,744x = 1,029,082 × 1,029,082 - Step 4: Simplify right side
527,744x = 1,059,009,762,724 - Step 5: Solve for x
x = 1,059,009,762,724/527,744 - Step 6: Final answer
x = 2,006,673.24
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.