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Finding the Third Proportional to 2,031,566 and 4,231,282

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Solution

The third proportional to 2,031,566 and 4,231,282 is: 8,812,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,566 : 4,231,282 = 4,231,282 : x
  2. Step 2: Convert to fraction form
    2,031,566/4,231,282 = 4,231,282/x
  3. Step 3: Cross multiply
    2,031,566x = 4,231,282 × 4,231,282
  4. Step 4: Simplify right side
    2,031,566x = 17,903,747,363,524
  5. Step 5: Solve for x
    x = 17,903,747,363,524/2,031,566
  6. Step 6: Final answer
    x = 8,812,781.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.