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Finding the Third Proportional to 2,468,162 and 3,728,543

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Solution

The third proportional to 2,468,162 and 3,728,543 is: 5,632,544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,162 : 3,728,543 = 3,728,543 : x
  2. Step 2: Convert to fraction form
    2,468,162/3,728,543 = 3,728,543/x
  3. Step 3: Cross multiply
    2,468,162x = 3,728,543 × 3,728,543
  4. Step 4: Simplify right side
    2,468,162x = 13,902,032,902,849
  5. Step 5: Solve for x
    x = 13,902,032,902,849/2,468,162
  6. Step 6: Final answer
    x = 5,632,544.74

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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.