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Finding the Third Proportional to 1,047.78 and 2,220.46

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Solution

The third proportional to 1,047.78 and 2,220.46 is: 4,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.78 : 2,220.46 = 2,220.46 : x
  2. Step 2: Convert to fraction form
    1,047.78/2,220.46 = 2,220.46/x
  3. Step 3: Cross multiply
    1,047.78x = 2,220.46 × 2,220.46
  4. Step 4: Simplify right side
    1,047.78x = 4,930,442.44
  5. Step 5: Solve for x
    x = 4,930,442.44/1,047.78
  6. Step 6: Final answer
    x = 4,705.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.