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Finding the Third Proportional to 731,656 and 1,597,376

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Solution

The third proportional to 731,656 and 1,597,376 is: 3,487,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,656 : 1,597,376 = 1,597,376 : x
  2. Step 2: Convert to fraction form
    731,656/1,597,376 = 1,597,376/x
  3. Step 3: Cross multiply
    731,656x = 1,597,376 × 1,597,376
  4. Step 4: Simplify right side
    731,656x = 2,551,610,085,376
  5. Step 5: Solve for x
    x = 2,551,610,085,376/731,656
  6. Step 6: Final answer
    x = 3,487,445.04

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