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Finding the Third Proportional to 641,761 and 986,517

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Solution

The third proportional to 641,761 and 986,517 is: 1,516,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,761 : 986,517 = 986,517 : x
  2. Step 2: Convert to fraction form
    641,761/986,517 = 986,517/x
  3. Step 3: Cross multiply
    641,761x = 986,517 × 986,517
  4. Step 4: Simplify right side
    641,761x = 973,215,791,289
  5. Step 5: Solve for x
    x = 973,215,791,289/641,761
  6. Step 6: Final answer
    x = 1,516,476.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.