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Finding the Third Proportional to 436,844 and 959,344

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Solution

The third proportional to 436,844 and 959,344 is: 2,106,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,844 : 959,344 = 959,344 : x
  2. Step 2: Convert to fraction form
    436,844/959,344 = 959,344/x
  3. Step 3: Cross multiply
    436,844x = 959,344 × 959,344
  4. Step 4: Simplify right side
    436,844x = 920,340,910,336
  5. Step 5: Solve for x
    x = 920,340,910,336/436,844
  6. Step 6: Final answer
    x = 2,106,795.36

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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.