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Finding the Third Proportional to 2,543,616 and 5,381,694

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Solution

The third proportional to 2,543,616 and 5,381,694 is: 11,386,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,616 : 5,381,694 = 5,381,694 : x
  2. Step 2: Convert to fraction form
    2,543,616/5,381,694 = 5,381,694/x
  3. Step 3: Cross multiply
    2,543,616x = 5,381,694 × 5,381,694
  4. Step 4: Simplify right side
    2,543,616x = 28,962,630,309,636
  5. Step 5: Solve for x
    x = 28,962,630,309,636/2,543,616
  6. Step 6: Final answer
    x = 11,386,400.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.