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Finding the Third Proportional to 1,234.97 and 2,609.44

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Solution

The third proportional to 1,234.97 and 2,609.44 is: 5,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.97 : 2,609.44 = 2,609.44 : x
  2. Step 2: Convert to fraction form
    1,234.97/2,609.44 = 2,609.44/x
  3. Step 3: Cross multiply
    1,234.97x = 2,609.44 × 2,609.44
  4. Step 4: Simplify right side
    1,234.97x = 6,809,164.07
  5. Step 5: Solve for x
    x = 6,809,164.07/1,234.97
  6. Step 6: Final answer
    x = 5,513.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.