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Finding the Third Proportional to 588,545,358 and 1,261,591,536

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Solution

The third proportional to 588,545,358 and 1,261,591,536 is: 2,704,316,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,545,358 : 1,261,591,536 = 1,261,591,536 : x
  2. Step 2: Convert to fraction form
    588,545,358/1,261,591,536 = 1,261,591,536/x
  3. Step 3: Cross multiply
    588,545,358x = 1,261,591,536 × 1,261,591,536
  4. Step 4: Simplify right side
    588,545,358x = 1,591,613,203,706,839,296
  5. Step 5: Solve for x
    x = 1,591,613,203,706,839,296/588,545,358
  6. Step 6: Final answer
    x = 2,704,316,977.57

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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.