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Finding the Third Proportional to 731,651 and 1,597,366

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Solution

The third proportional to 731,651 and 1,597,366 is: 3,487,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,651 : 1,597,366 = 1,597,366 : x
  2. Step 2: Convert to fraction form
    731,651/1,597,366 = 1,597,366/x
  3. Step 3: Cross multiply
    731,651x = 1,597,366 × 1,597,366
  4. Step 4: Simplify right side
    731,651x = 2,551,578,137,956
  5. Step 5: Solve for x
    x = 2,551,578,137,956/731,651
  6. Step 6: Final answer
    x = 3,487,425.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.