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Finding the Third Proportional to 418,515,444 and 689,129,451

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Solution

The third proportional to 418,515,444 and 689,129,451 is: 1,134,723,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,515,444 : 689,129,451 = 689,129,451 : x
  2. Step 2: Convert to fraction form
    418,515,444/689,129,451 = 689,129,451/x
  3. Step 3: Cross multiply
    418,515,444x = 689,129,451 × 689,129,451
  4. Step 4: Simplify right side
    418,515,444x = 474,899,400,235,561,408
  5. Step 5: Solve for x
    x = 474,899,400,235,561,408/418,515,444
  6. Step 6: Final answer
    x = 1,134,723,717.00

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.