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Finding the Third Proportional to 1,201.78 and 1,840.78

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Solution

The third proportional to 1,201.78 and 1,840.78 is: 2,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,840.78 = 1,840.78 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,840.78 = 1,840.78/x
  3. Step 3: Cross multiply
    1,201.78x = 1,840.78 × 1,840.78
  4. Step 4: Simplify right side
    1,201.78x = 3,388,475.61
  5. Step 5: Solve for x
    x = 3,388,475.61/1,201.78
  6. Step 6: Final answer
    x = 2,819.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.