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Finding the Third Proportional to 1,942,098.38 and 2,940,138.56

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Solution

The third proportional to 1,942,098.38 and 2,940,138.56 is: 4,451,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,098.38 : 2,940,138.56 = 2,940,138.56 : x
  2. Step 2: Convert to fraction form
    1,942,098.38/2,940,138.56 = 2,940,138.56/x
  3. Step 3: Cross multiply
    1,942,098.38x = 2,940,138.56 × 2,940,138.56
  4. Step 4: Simplify right side
    1,942,098.38x = 8,644,414,766,699.57
  5. Step 5: Solve for x
    x = 8,644,414,766,699.57/1,942,098.38
  6. Step 6: Final answer
    x = 4,451,069.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.