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Finding the Third Proportional to 337,659,666 and 731,675,924

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Solution

The third proportional to 337,659,666 and 731,675,924 is: 1,585,471,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,659,666 : 731,675,924 = 731,675,924 : x
  2. Step 2: Convert to fraction form
    337,659,666/731,675,924 = 731,675,924/x
  3. Step 3: Cross multiply
    337,659,666x = 731,675,924 × 731,675,924
  4. Step 4: Simplify right side
    337,659,666x = 535,349,657,761,253,760
  5. Step 5: Solve for x
    x = 535,349,657,761,253,760/337,659,666
  6. Step 6: Final answer
    x = 1,585,471,146.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.