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Finding the Third Proportional to 431,571 and 948,192

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Solution

The third proportional to 431,571 and 948,192 is: 2,083,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,571 : 948,192 = 948,192 : x
  2. Step 2: Convert to fraction form
    431,571/948,192 = 948,192/x
  3. Step 3: Cross multiply
    431,571x = 948,192 × 948,192
  4. Step 4: Simplify right side
    431,571x = 899,068,068,864
  5. Step 5: Solve for x
    x = 899,068,068,864/431,571
  6. Step 6: Final answer
    x = 2,083,244.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.