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Finding the Third Proportional to 1,134 and 1,778.06

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Solution

The third proportional to 1,134 and 1,778.06 is: 2,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134 : 1,778.06 = 1,778.06 : x
  2. Step 2: Convert to fraction form
    1,134/1,778.06 = 1,778.06/x
  3. Step 3: Cross multiply
    1,134x = 1,778.06 × 1,778.06
  4. Step 4: Simplify right side
    1,134x = 3,161,506.25
  5. Step 5: Solve for x
    x = 3,161,506.25/1,134
  6. Step 6: Final answer
    x = 2,787.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.