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Finding the Third Proportional to 741,713.38 and 1,522,747.19

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Solution

The third proportional to 741,713.38 and 1,522,747.19 is: 3,126,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,713.38 : 1,522,747.19 = 1,522,747.19 : x
  2. Step 2: Convert to fraction form
    741,713.38/1,522,747.19 = 1,522,747.19/x
  3. Step 3: Cross multiply
    741,713.38x = 1,522,747.19 × 1,522,747.19
  4. Step 4: Simplify right side
    741,713.38x = 2,318,758,997,039.16
  5. Step 5: Solve for x
    x = 2,318,758,997,039.16/741,713.38
  6. Step 6: Final answer
    x = 3,126,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.