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Finding the Third Proportional to 884.44 and 1,922.44

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Solution

The third proportional to 884.44 and 1,922.44 is: 4,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.44 : 1,922.44 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    884.44/1,922.44 = 1,922.44/x
  3. Step 3: Cross multiply
    884.44x = 1,922.44 × 1,922.44
  4. Step 4: Simplify right side
    884.44x = 3,695,765.94
  5. Step 5: Solve for x
    x = 3,695,765.94/884.44
  6. Step 6: Final answer
    x = 4,178.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.