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Finding the Third Proportional to 874,695.38 and 1,428,298.31

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Solution

The third proportional to 874,695.38 and 1,428,298.31 is: 2,332,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,695.38 : 1,428,298.31 = 1,428,298.31 : x
  2. Step 2: Convert to fraction form
    874,695.38/1,428,298.31 = 1,428,298.31/x
  3. Step 3: Cross multiply
    874,695.38x = 1,428,298.31 × 1,428,298.31
  4. Step 4: Simplify right side
    874,695.38x = 2,040,036,069,490.35
  5. Step 5: Solve for x
    x = 2,040,036,069,490.35/874,695.38
  6. Step 6: Final answer
    x = 2,332,281.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.