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Finding the Third Proportional to 1,638,432 and 2,543,912

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Solution

The third proportional to 1,638,432 and 2,543,912 is: 3,949,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,432 : 2,543,912 = 2,543,912 : x
  2. Step 2: Convert to fraction form
    1,638,432/2,543,912 = 2,543,912/x
  3. Step 3: Cross multiply
    1,638,432x = 2,543,912 × 2,543,912
  4. Step 4: Simplify right side
    1,638,432x = 6,471,488,263,744
  5. Step 5: Solve for x
    x = 6,471,488,263,744/1,638,432
  6. Step 6: Final answer
    x = 3,949,805.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.