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Finding the Third Proportional to 814,614.75 and 1,788,733.13

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Solution

The third proportional to 814,614.75 and 1,788,733.13 is: 3,927,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,614.75 : 1,788,733.13 = 1,788,733.13 : x
  2. Step 2: Convert to fraction form
    814,614.75/1,788,733.13 = 1,788,733.13/x
  3. Step 3: Cross multiply
    814,614.75x = 1,788,733.13 × 1,788,733.13
  4. Step 4: Simplify right side
    814,614.75x = 3,199,566,192,472.27
  5. Step 5: Solve for x
    x = 3,199,566,192,472.27/814,614.75
  6. Step 6: Final answer
    x = 3,927,704.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.