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Finding the Third Proportional to 1,219,620.38 and 1,785,690.56

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Solution

The third proportional to 1,219,620.38 and 1,785,690.56 is: 2,614,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,620.38 : 1,785,690.56 = 1,785,690.56 : x
  2. Step 2: Convert to fraction form
    1,219,620.38/1,785,690.56 = 1,785,690.56/x
  3. Step 3: Cross multiply
    1,219,620.38x = 1,785,690.56 × 1,785,690.56
  4. Step 4: Simplify right side
    1,219,620.38x = 3,188,690,785,001.57
  5. Step 5: Solve for x
    x = 3,188,690,785,001.57/1,219,620.38
  6. Step 6: Final answer
    x = 2,614,494.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.