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Finding the Third Proportional to 693,825.75 and 1,401,867

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Solution

The third proportional to 693,825.75 and 1,401,867 is: 2,832,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,825.75 : 1,401,867 = 1,401,867 : x
  2. Step 2: Convert to fraction form
    693,825.75/1,401,867 = 1,401,867/x
  3. Step 3: Cross multiply
    693,825.75x = 1,401,867 × 1,401,867
  4. Step 4: Simplify right side
    693,825.75x = 1,965,231,085,689
  5. Step 5: Solve for x
    x = 1,965,231,085,689/693,825.75
  6. Step 6: Final answer
    x = 2,832,456.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.