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Finding the Third Proportional to 588,545,360 and 1,261,591,540

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Solution

The third proportional to 588,545,360 and 1,261,591,540 is: 2,704,316,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,545,360 : 1,261,591,540 = 1,261,591,540 : x
  2. Step 2: Convert to fraction form
    588,545,360/1,261,591,540 = 1,261,591,540/x
  3. Step 3: Cross multiply
    588,545,360x = 1,261,591,540 × 1,261,591,540
  4. Step 4: Simplify right side
    588,545,360x = 1,591,613,213,799,571,712
  5. Step 5: Solve for x
    x = 1,591,613,213,799,571,712/588,545,360
  6. Step 6: Final answer
    x = 2,704,316,985.52

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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.