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Finding the Third Proportional to 656,299.13 and 1,012,449.38

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Solution

The third proportional to 656,299.13 and 1,012,449.38 is: 1,561,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,299.13 : 1,012,449.38 = 1,012,449.38 : x
  2. Step 2: Convert to fraction form
    656,299.13/1,012,449.38 = 1,012,449.38/x
  3. Step 3: Cross multiply
    656,299.13x = 1,012,449.38 × 1,012,449.38
  4. Step 4: Simplify right side
    656,299.13x = 1,025,053,736,937.89
  5. Step 5: Solve for x
    x = 1,025,053,736,937.89/656,299.13
  6. Step 6: Final answer
    x = 1,561,869.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.