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Finding the Third Proportional to 656,616.38 and 1,437,793.03

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Solution

The third proportional to 656,616.38 and 1,437,793.03 is: 3,148,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,616.38 : 1,437,793.03 = 1,437,793.03 : x
  2. Step 2: Convert to fraction form
    656,616.38/1,437,793.03 = 1,437,793.03/x
  3. Step 3: Cross multiply
    656,616.38x = 1,437,793.03 × 1,437,793.03
  4. Step 4: Simplify right side
    656,616.38x = 2,067,248,800,711.06
  5. Step 5: Solve for x
    x = 2,067,248,800,711.06/656,616.38
  6. Step 6: Final answer
    x = 3,148,335.74

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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.