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Finding the Third Proportional to 508,614,434 and 1,098,538,612

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Solution

The third proportional to 508,614,434 and 1,098,538,612 is: 2,372,695,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,614,434 : 1,098,538,612 = 1,098,538,612 : x
  2. Step 2: Convert to fraction form
    508,614,434/1,098,538,612 = 1,098,538,612/x
  3. Step 3: Cross multiply
    508,614,434x = 1,098,538,612 × 1,098,538,612
  4. Step 4: Simplify right side
    508,614,434x = 1,206,787,082,054,886,656
  5. Step 5: Solve for x
    x = 1,206,787,082,054,886,656/508,614,434
  6. Step 6: Final answer
    x = 2,372,695,309.81

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