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Finding the Third Proportional to 516,060 and 781,866

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Solution

The third proportional to 516,060 and 781,866 is: 1,184,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,060 : 781,866 = 781,866 : x
  2. Step 2: Convert to fraction form
    516,060/781,866 = 781,866/x
  3. Step 3: Cross multiply
    516,060x = 781,866 × 781,866
  4. Step 4: Simplify right side
    516,060x = 611,314,441,956
  5. Step 5: Solve for x
    x = 611,314,441,956/516,060
  6. Step 6: Final answer
    x = 1,184,580.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.