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Finding the Third Proportional to 1,647,344 and 3,609,616

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Solution

The third proportional to 1,647,344 and 3,609,616 is: 7,909,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,344 : 3,609,616 = 3,609,616 : x
  2. Step 2: Convert to fraction form
    1,647,344/3,609,616 = 3,609,616/x
  3. Step 3: Cross multiply
    1,647,344x = 3,609,616 × 3,609,616
  4. Step 4: Simplify right side
    1,647,344x = 13,029,327,667,456
  5. Step 5: Solve for x
    x = 13,029,327,667,456/1,647,344
  6. Step 6: Final answer
    x = 7,909,293.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.