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Finding the Third Proportional to 2,647,242 and 3,727,863

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Solution

The third proportional to 2,647,242 and 3,727,863 is: 5,249,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647,242 : 3,727,863 = 3,727,863 : x
  2. Step 2: Convert to fraction form
    2,647,242/3,727,863 = 3,727,863/x
  3. Step 3: Cross multiply
    2,647,242x = 3,727,863 × 3,727,863
  4. Step 4: Simplify right side
    2,647,242x = 13,896,962,546,769
  5. Step 5: Solve for x
    x = 13,896,962,546,769/2,647,242
  6. Step 6: Final answer
    x = 5,249,600.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.