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Finding the Third Proportional to 431,978 and 959,834

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Solution

The third proportional to 431,978 and 959,834 is: 2,132,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,978 : 959,834 = 959,834 : x
  2. Step 2: Convert to fraction form
    431,978/959,834 = 959,834/x
  3. Step 3: Cross multiply
    431,978x = 959,834 × 959,834
  4. Step 4: Simplify right side
    431,978x = 921,281,307,556
  5. Step 5: Solve for x
    x = 921,281,307,556/431,978
  6. Step 6: Final answer
    x = 2,132,704.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.