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Finding the Third Proportional to 2,484,892 and 5,419,616

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Solution

The third proportional to 2,484,892 and 5,419,616 is: 11,820,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,892 : 5,419,616 = 5,419,616 : x
  2. Step 2: Convert to fraction form
    2,484,892/5,419,616 = 5,419,616/x
  3. Step 3: Cross multiply
    2,484,892x = 5,419,616 × 5,419,616
  4. Step 4: Simplify right side
    2,484,892x = 29,372,237,587,456
  5. Step 5: Solve for x
    x = 29,372,237,587,456/2,484,892
  6. Step 6: Final answer
    x = 11,820,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.