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Finding the Third Proportional to 457,987 and 992,246

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Solution

The third proportional to 457,987 and 992,246 is: 2,149,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,987 : 992,246 = 992,246 : x
  2. Step 2: Convert to fraction form
    457,987/992,246 = 992,246/x
  3. Step 3: Cross multiply
    457,987x = 992,246 × 992,246
  4. Step 4: Simplify right side
    457,987x = 984,552,124,516
  5. Step 5: Solve for x
    x = 984,552,124,516/457,987
  6. Step 6: Final answer
    x = 2,149,738.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.