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Finding the Third Proportional to 800,165 and 1,737,697

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Solution

The third proportional to 800,165 and 1,737,697 is: 3,773,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,165 : 1,737,697 = 1,737,697 : x
  2. Step 2: Convert to fraction form
    800,165/1,737,697 = 1,737,697/x
  3. Step 3: Cross multiply
    800,165x = 1,737,697 × 1,737,697
  4. Step 4: Simplify right side
    800,165x = 3,019,590,863,809
  5. Step 5: Solve for x
    x = 3,019,590,863,809/800,165
  6. Step 6: Final answer
    x = 3,773,710.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.