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Finding the Third Proportional to 443,794 and 970,452

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Solution

The third proportional to 443,794 and 970,452 is: 2,122,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,794 : 970,452 = 970,452 : x
  2. Step 2: Convert to fraction form
    443,794/970,452 = 970,452/x
  3. Step 3: Cross multiply
    443,794x = 970,452 × 970,452
  4. Step 4: Simplify right side
    443,794x = 941,777,084,304
  5. Step 5: Solve for x
    x = 941,777,084,304/443,794
  6. Step 6: Final answer
    x = 2,122,104.14

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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.