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Finding the Third Proportional to 582,654 and 915,549

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Solution

The third proportional to 582,654 and 915,549 is: 1,438,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,654 : 915,549 = 915,549 : x
  2. Step 2: Convert to fraction form
    582,654/915,549 = 915,549/x
  3. Step 3: Cross multiply
    582,654x = 915,549 × 915,549
  4. Step 4: Simplify right side
    582,654x = 838,229,971,401
  5. Step 5: Solve for x
    x = 838,229,971,401/582,654
  6. Step 6: Final answer
    x = 1,438,641.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.