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Finding the Third Proportional to 2,002,327 and 4,146,606

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Solution

The third proportional to 2,002,327 and 4,146,606 is: 8,587,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,327 : 4,146,606 = 4,146,606 : x
  2. Step 2: Convert to fraction form
    2,002,327/4,146,606 = 4,146,606/x
  3. Step 3: Cross multiply
    2,002,327x = 4,146,606 × 4,146,606
  4. Step 4: Simplify right side
    2,002,327x = 17,194,341,319,236
  5. Step 5: Solve for x
    x = 17,194,341,319,236/2,002,327
  6. Step 6: Final answer
    x = 8,587,179.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.