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Finding the Third Proportional to 436,839 and 959,331

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Solution

The third proportional to 436,839 and 959,331 is: 2,106,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,839 : 959,331 = 959,331 : x
  2. Step 2: Convert to fraction form
    436,839/959,331 = 959,331/x
  3. Step 3: Cross multiply
    436,839x = 959,331 × 959,331
  4. Step 4: Simplify right side
    436,839x = 920,315,967,561
  5. Step 5: Solve for x
    x = 920,315,967,561/436,839
  6. Step 6: Final answer
    x = 2,106,762.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.