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Finding the Third Proportional to 491,200 and 1,057,098

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Solution

The third proportional to 491,200 and 1,057,098 is: 2,274,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,200 : 1,057,098 = 1,057,098 : x
  2. Step 2: Convert to fraction form
    491,200/1,057,098 = 1,057,098/x
  3. Step 3: Cross multiply
    491,200x = 1,057,098 × 1,057,098
  4. Step 4: Simplify right side
    491,200x = 1,117,456,181,604
  5. Step 5: Solve for x
    x = 1,117,456,181,604/491,200
  6. Step 6: Final answer
    x = 2,274,951.51

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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.