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Finding the Third Proportional to 844 and 2,069

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Solution

The third proportional to 844 and 2,069 is: 5,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    844 : 2,069 = 2,069 : x
  2. Step 2: Convert to fraction form
    844/2,069 = 2,069/x
  3. Step 3: Cross multiply
    844x = 2,069 × 2,069
  4. Step 4: Simplify right side
    844x = 4,280,761
  5. Step 5: Solve for x
    x = 4,280,761/844
  6. Step 6: Final answer
    x = 5,071.99

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.