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Finding the Third Proportional to 1,638,463.50 and 2,543,958

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Solution

The third proportional to 1,638,463.50 and 2,543,958 is: 3,949,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,463.50 : 2,543,958 = 2,543,958 : x
  2. Step 2: Convert to fraction form
    1,638,463.50/2,543,958 = 2,543,958/x
  3. Step 3: Cross multiply
    1,638,463.50x = 2,543,958 × 2,543,958
  4. Step 4: Simplify right side
    1,638,463.50x = 6,471,722,305,764
  5. Step 5: Solve for x
    x = 6,471,722,305,764/1,638,463.50
  6. Step 6: Final answer
    x = 3,949,872.73

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Why These Related Problems?

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