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Finding the Third Proportional to 487,374 and 1,086,811

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Solution

The third proportional to 487,374 and 1,086,811 is: 2,423,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,374 : 1,086,811 = 1,086,811 : x
  2. Step 2: Convert to fraction form
    487,374/1,086,811 = 1,086,811/x
  3. Step 3: Cross multiply
    487,374x = 1,086,811 × 1,086,811
  4. Step 4: Simplify right side
    487,374x = 1,181,158,149,721
  5. Step 5: Solve for x
    x = 1,181,158,149,721/487,374
  6. Step 6: Final answer
    x = 2,423,514.90

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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.