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Finding the Third Proportional to 638,474 and 952,174

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Solution

The third proportional to 638,474 and 952,174 is: 1,420,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,474 : 952,174 = 952,174 : x
  2. Step 2: Convert to fraction form
    638,474/952,174 = 952,174/x
  3. Step 3: Cross multiply
    638,474x = 952,174 × 952,174
  4. Step 4: Simplify right side
    638,474x = 906,635,326,276
  5. Step 5: Solve for x
    x = 906,635,326,276/638,474
  6. Step 6: Final answer
    x = 1,420,003.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.