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Finding the Third Proportional to 588,545,352 and 1,261,591,524

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Solution

The third proportional to 588,545,352 and 1,261,591,524 is: 2,704,316,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,545,352 : 1,261,591,524 = 1,261,591,524 : x
  2. Step 2: Convert to fraction form
    588,545,352/1,261,591,524 = 1,261,591,524/x
  3. Step 3: Cross multiply
    588,545,352x = 1,261,591,524 × 1,261,591,524
  4. Step 4: Simplify right side
    588,545,352x = 1,591,613,173,428,642,560
  5. Step 5: Solve for x
    x = 1,591,613,173,428,642,560/588,545,352
  6. Step 6: Final answer
    x = 2,704,316,953.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.