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Finding the Third Proportional to 823,844.25 and 1,687,824

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Solution

The third proportional to 823,844.25 and 1,687,824 is: 3,457,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,844.25 : 1,687,824 = 1,687,824 : x
  2. Step 2: Convert to fraction form
    823,844.25/1,687,824 = 1,687,824/x
  3. Step 3: Cross multiply
    823,844.25x = 1,687,824 × 1,687,824
  4. Step 4: Simplify right side
    823,844.25x = 2,848,749,854,976
  5. Step 5: Solve for x
    x = 2,848,749,854,976/823,844.25
  6. Step 6: Final answer
    x = 3,457,874.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.