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Finding the Third Proportional to 443,828 and 970,691

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Solution

The third proportional to 443,828 and 970,691 is: 2,122,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,828 : 970,691 = 970,691 : x
  2. Step 2: Convert to fraction form
    443,828/970,691 = 970,691/x
  3. Step 3: Cross multiply
    443,828x = 970,691 × 970,691
  4. Step 4: Simplify right side
    443,828x = 942,241,017,481
  5. Step 5: Solve for x
    x = 942,241,017,481/443,828
  6. Step 6: Final answer
    x = 2,122,986.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.