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Finding the Third Proportional to 1,002,024 and 2,102,517

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Solution

The third proportional to 1,002,024 and 2,102,517 is: 4,411,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,024 : 2,102,517 = 2,102,517 : x
  2. Step 2: Convert to fraction form
    1,002,024/2,102,517 = 2,102,517/x
  3. Step 3: Cross multiply
    1,002,024x = 2,102,517 × 2,102,517
  4. Step 4: Simplify right side
    1,002,024x = 4,420,577,735,289
  5. Step 5: Solve for x
    x = 4,420,577,735,289/1,002,024
  6. Step 6: Final answer
    x = 4,411,648.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.