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Finding the Third Proportional to 437,691 and 952,071

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Solution

The third proportional to 437,691 and 952,071 is: 2,070,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,691 : 952,071 = 952,071 : x
  2. Step 2: Convert to fraction form
    437,691/952,071 = 952,071/x
  3. Step 3: Cross multiply
    437,691x = 952,071 × 952,071
  4. Step 4: Simplify right side
    437,691x = 906,439,189,041
  5. Step 5: Solve for x
    x = 906,439,189,041/437,691
  6. Step 6: Final answer
    x = 2,070,956.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.