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Finding the Third Proportional to 2,449,267 and 3,861,741

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Solution

The third proportional to 2,449,267 and 3,861,741 is: 6,088,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,267 : 3,861,741 = 3,861,741 : x
  2. Step 2: Convert to fraction form
    2,449,267/3,861,741 = 3,861,741/x
  3. Step 3: Cross multiply
    2,449,267x = 3,861,741 × 3,861,741
  4. Step 4: Simplify right side
    2,449,267x = 14,913,043,551,081
  5. Step 5: Solve for x
    x = 14,913,043,551,081/2,449,267
  6. Step 6: Final answer
    x = 6,088,778.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.