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Finding the Third Proportional to 814,711.50 and 1,232,551.13

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Solution

The third proportional to 814,711.50 and 1,232,551.13 is: 1,864,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,711.50 : 1,232,551.13 = 1,232,551.13 : x
  2. Step 2: Convert to fraction form
    814,711.50/1,232,551.13 = 1,232,551.13/x
  3. Step 3: Cross multiply
    814,711.50x = 1,232,551.13 × 1,232,551.13
  4. Step 4: Simplify right side
    814,711.50x = 1,519,182,275,738.77
  5. Step 5: Solve for x
    x = 1,519,182,275,738.77/814,711.50
  6. Step 6: Final answer
    x = 1,864,687.41

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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.