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Finding the Third Proportional to 436,839 and 934,399

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Solution

The third proportional to 436,839 and 934,399 is: 1,998,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,839 : 934,399 = 934,399 : x
  2. Step 2: Convert to fraction form
    436,839/934,399 = 934,399/x
  3. Step 3: Cross multiply
    436,839x = 934,399 × 934,399
  4. Step 4: Simplify right side
    436,839x = 873,101,491,201
  5. Step 5: Solve for x
    x = 873,101,491,201/436,839
  6. Step 6: Final answer
    x = 1,998,680.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.