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Finding the Third Proportional to 588,545,354 and 1,261,591,528

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Solution

The third proportional to 588,545,354 and 1,261,591,528 is: 2,704,316,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,545,354 : 1,261,591,528 = 1,261,591,528 : x
  2. Step 2: Convert to fraction form
    588,545,354/1,261,591,528 = 1,261,591,528/x
  3. Step 3: Cross multiply
    588,545,354x = 1,261,591,528 × 1,261,591,528
  4. Step 4: Simplify right side
    588,545,354x = 1,591,613,183,521,374,720
  5. Step 5: Solve for x
    x = 1,591,613,183,521,374,720/588,545,354
  6. Step 6: Final answer
    x = 2,704,316,961.65

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Why These Related Problems?

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