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Finding the Third Proportional to 613,414 and 1,340,552

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Solution

The third proportional to 613,414 and 1,340,552 is: 2,929,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,414 : 1,340,552 = 1,340,552 : x
  2. Step 2: Convert to fraction form
    613,414/1,340,552 = 1,340,552/x
  3. Step 3: Cross multiply
    613,414x = 1,340,552 × 1,340,552
  4. Step 4: Simplify right side
    613,414x = 1,797,079,664,704
  5. Step 5: Solve for x
    x = 1,797,079,664,704/613,414
  6. Step 6: Final answer
    x = 2,929,635.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.