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Finding the Third Proportional to 2,468,166 and 3,728,549

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Solution

The third proportional to 2,468,166 and 3,728,549 is: 5,632,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,166 : 3,728,549 = 3,728,549 : x
  2. Step 2: Convert to fraction form
    2,468,166/3,728,549 = 3,728,549/x
  3. Step 3: Cross multiply
    2,468,166x = 3,728,549 × 3,728,549
  4. Step 4: Simplify right side
    2,468,166x = 13,902,077,645,401
  5. Step 5: Solve for x
    x = 13,902,077,645,401/2,468,166
  6. Step 6: Final answer
    x = 5,632,553.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.