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Finding the Third Proportional to 1,002,616 and 2,165,031

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Solution

The third proportional to 1,002,616 and 2,165,031 is: 4,675,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,616 : 2,165,031 = 2,165,031 : x
  2. Step 2: Convert to fraction form
    1,002,616/2,165,031 = 2,165,031/x
  3. Step 3: Cross multiply
    1,002,616x = 2,165,031 × 2,165,031
  4. Step 4: Simplify right side
    1,002,616x = 4,687,359,230,961
  5. Step 5: Solve for x
    x = 4,687,359,230,961/1,002,616
  6. Step 6: Final answer
    x = 4,675,129.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.