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Finding the Third Proportional to 867,697 and 1,777,675

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Solution

The third proportional to 867,697 and 1,777,675 is: 3,641,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,697 : 1,777,675 = 1,777,675 : x
  2. Step 2: Convert to fraction form
    867,697/1,777,675 = 1,777,675/x
  3. Step 3: Cross multiply
    867,697x = 1,777,675 × 1,777,675
  4. Step 4: Simplify right side
    867,697x = 3,160,128,405,625
  5. Step 5: Solve for x
    x = 3,160,128,405,625/867,697
  6. Step 6: Final answer
    x = 3,641,972.26

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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.