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Finding the Third Proportional to 2,006,469 and 3,031,098

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Solution

The third proportional to 2,006,469 and 3,031,098 is: 4,578,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,469 : 3,031,098 = 3,031,098 : x
  2. Step 2: Convert to fraction form
    2,006,469/3,031,098 = 3,031,098/x
  3. Step 3: Cross multiply
    2,006,469x = 3,031,098 × 3,031,098
  4. Step 4: Simplify right side
    2,006,469x = 9,187,555,085,604
  5. Step 5: Solve for x
    x = 9,187,555,085,604/2,006,469
  6. Step 6: Final answer
    x = 4,578,966.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.