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Finding the Third Proportional to 1,220 and 1,976

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Solution

The third proportional to 1,220 and 1,976 is: 3,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220 : 1,976 = 1,976 : x
  2. Step 2: Convert to fraction form
    1,220/1,976 = 1,976/x
  3. Step 3: Cross multiply
    1,220x = 1,976 × 1,976
  4. Step 4: Simplify right side
    1,220x = 3,904,576
  5. Step 5: Solve for x
    x = 3,904,576/1,220
  6. Step 6: Final answer
    x = 3,200.47

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.