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Finding the Third Proportional to 2,658,474 and 3,986,736

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Solution

The third proportional to 2,658,474 and 3,986,736 is: 5,978,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,474 : 3,986,736 = 3,986,736 : x
  2. Step 2: Convert to fraction form
    2,658,474/3,986,736 = 3,986,736/x
  3. Step 3: Cross multiply
    2,658,474x = 3,986,736 × 3,986,736
  4. Step 4: Simplify right side
    2,658,474x = 15,894,063,933,696
  5. Step 5: Solve for x
    x = 15,894,063,933,696/2,658,474
  6. Step 6: Final answer
    x = 5,978,641.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.