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Finding the Third Proportional to 2,428,616 and 5,231,002

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Solution

The third proportional to 2,428,616 and 5,231,002 is: 11,267,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,616 : 5,231,002 = 5,231,002 : x
  2. Step 2: Convert to fraction form
    2,428,616/5,231,002 = 5,231,002/x
  3. Step 3: Cross multiply
    2,428,616x = 5,231,002 × 5,231,002
  4. Step 4: Simplify right side
    2,428,616x = 27,363,381,924,004
  5. Step 5: Solve for x
    x = 27,363,381,924,004/2,428,616
  6. Step 6: Final answer
    x = 11,267,068.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.