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Finding the Third Proportional to 487,481.25 and 1,086,987

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Solution

The third proportional to 487,481.25 and 1,086,987 is: 2,423,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,481.25 : 1,086,987 = 1,086,987 : x
  2. Step 2: Convert to fraction form
    487,481.25/1,086,987 = 1,086,987/x
  3. Step 3: Cross multiply
    487,481.25x = 1,086,987 × 1,086,987
  4. Step 4: Simplify right side
    487,481.25x = 1,181,540,738,169
  5. Step 5: Solve for x
    x = 1,181,540,738,169/487,481.25
  6. Step 6: Final answer
    x = 2,423,766.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.