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Finding the Third Proportional to 1,397,016 and 2,135,616

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Solution

The third proportional to 1,397,016 and 2,135,616 is: 3,264,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,016 : 2,135,616 = 2,135,616 : x
  2. Step 2: Convert to fraction form
    1,397,016/2,135,616 = 2,135,616/x
  3. Step 3: Cross multiply
    1,397,016x = 2,135,616 × 2,135,616
  4. Step 4: Simplify right side
    1,397,016x = 4,560,855,699,456
  5. Step 5: Solve for x
    x = 4,560,855,699,456/1,397,016
  6. Step 6: Final answer
    x = 3,264,712.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.