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Finding the Third Proportional to 1,638,434 and 2,543,915

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Solution

The third proportional to 1,638,434 and 2,543,915 is: 3,949,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,434 : 2,543,915 = 2,543,915 : x
  2. Step 2: Convert to fraction form
    1,638,434/2,543,915 = 2,543,915/x
  3. Step 3: Cross multiply
    1,638,434x = 2,543,915 × 2,543,915
  4. Step 4: Simplify right side
    1,638,434x = 6,471,503,527,225
  5. Step 5: Solve for x
    x = 6,471,503,527,225/1,638,434
  6. Step 6: Final answer
    x = 3,949,810.32

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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.