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Finding the Third Proportional to 1,198 and 2,707

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Solution

The third proportional to 1,198 and 2,707 is: 6,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198 : 2,707 = 2,707 : x
  2. Step 2: Convert to fraction form
    1,198/2,707 = 2,707/x
  3. Step 3: Cross multiply
    1,198x = 2,707 × 2,707
  4. Step 4: Simplify right side
    1,198x = 7,327,849
  5. Step 5: Solve for x
    x = 7,327,849/1,198
  6. Step 6: Final answer
    x = 6,116.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.