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Finding the Third Proportional to 2,002,425 and 4,146,789

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Solution

The third proportional to 2,002,425 and 4,146,789 is: 8,587,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,425 : 4,146,789 = 4,146,789 : x
  2. Step 2: Convert to fraction form
    2,002,425/4,146,789 = 4,146,789/x
  3. Step 3: Cross multiply
    2,002,425x = 4,146,789 × 4,146,789
  4. Step 4: Simplify right side
    2,002,425x = 17,195,859,010,521
  5. Step 5: Solve for x
    x = 17,195,859,010,521/2,002,425
  6. Step 6: Final answer
    x = 8,587,517.14

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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.