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Finding the Third Proportional to 1,084.78 and 2,246.34

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Solution

The third proportional to 1,084.78 and 2,246.34 is: 4,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.78 : 2,246.34 = 2,246.34 : x
  2. Step 2: Convert to fraction form
    1,084.78/2,246.34 = 2,246.34/x
  3. Step 3: Cross multiply
    1,084.78x = 2,246.34 × 2,246.34
  4. Step 4: Simplify right side
    1,084.78x = 5,046,060.24
  5. Step 5: Solve for x
    x = 5,046,060.24/1,084.78
  6. Step 6: Final answer
    x = 4,651.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.