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Finding the Third Proportional to 442,614.38 and 949,735.13

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Solution

The third proportional to 442,614.38 and 949,735.13 is: 2,037,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,614.38 : 949,735.13 = 949,735.13 : x
  2. Step 2: Convert to fraction form
    442,614.38/949,735.13 = 949,735.13/x
  3. Step 3: Cross multiply
    442,614.38x = 949,735.13 × 949,735.13
  4. Step 4: Simplify right side
    442,614.38x = 901,996,807,658.77
  5. Step 5: Solve for x
    x = 901,996,807,658.77/442,614.38
  6. Step 6: Final answer
    x = 2,037,884.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.