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Finding the Third Proportional to 823,587.75 and 1,687,311

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Solution

The third proportional to 823,587.75 and 1,687,311 is: 3,456,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,587.75 : 1,687,311 = 1,687,311 : x
  2. Step 2: Convert to fraction form
    823,587.75/1,687,311 = 1,687,311/x
  3. Step 3: Cross multiply
    823,587.75x = 1,687,311 × 1,687,311
  4. Step 4: Simplify right side
    823,587.75x = 2,847,018,410,721
  5. Step 5: Solve for x
    x = 2,847,018,410,721/823,587.75
  6. Step 6: Final answer
    x = 3,456,848.90

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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.