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Finding the Third Proportional to 862 and 1,391

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Solution

The third proportional to 862 and 1,391 is: 2,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,391 = 1,391 : x
  2. Step 2: Convert to fraction form
    862/1,391 = 1,391/x
  3. Step 3: Cross multiply
    862x = 1,391 × 1,391
  4. Step 4: Simplify right side
    862x = 1,934,881
  5. Step 5: Solve for x
    x = 1,934,881/862
  6. Step 6: Final answer
    x = 2,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.