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Finding the Third Proportional to 410,451 and 881,592

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Solution

The third proportional to 410,451 and 881,592 is: 1,893,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,451 : 881,592 = 881,592 : x
  2. Step 2: Convert to fraction form
    410,451/881,592 = 881,592/x
  3. Step 3: Cross multiply
    410,451x = 881,592 × 881,592
  4. Step 4: Simplify right side
    410,451x = 777,204,454,464
  5. Step 5: Solve for x
    x = 777,204,454,464/410,451
  6. Step 6: Final answer
    x = 1,893,537.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.