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Finding the Third Proportional to 866,183 and 1,787,287

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Solution

The third proportional to 866,183 and 1,787,287 is: 3,687,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,183 : 1,787,287 = 1,787,287 : x
  2. Step 2: Convert to fraction form
    866,183/1,787,287 = 1,787,287/x
  3. Step 3: Cross multiply
    866,183x = 1,787,287 × 1,787,287
  4. Step 4: Simplify right side
    866,183x = 3,194,394,820,369
  5. Step 5: Solve for x
    x = 3,194,394,820,369/866,183
  6. Step 6: Final answer
    x = 3,687,898.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.