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Finding the Third Proportional to 508,614,432 and 1,098,538,608

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Solution

The third proportional to 508,614,432 and 1,098,538,608 is: 2,372,695,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614,432 : 1,098,538,608 = 1,098,538,608 : x
  2. Step 2: Convert to fraction form
    508,614,432/1,098,538,608 = 1,098,538,608/x
  3. Step 3: Cross multiply
    508,614,432x = 1,098,538,608 × 1,098,538,608
  4. Step 4: Simplify right side
    508,614,432x = 1,206,787,073,266,577,664
  5. Step 5: Solve for x
    x = 1,206,787,073,266,577,664/508,614,432
  6. Step 6: Final answer
    x = 2,372,695,301.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.