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Finding the Third Proportional to 436,845 and 959,343

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Solution

The third proportional to 436,845 and 959,343 is: 2,106,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,845 : 959,343 = 959,343 : x
  2. Step 2: Convert to fraction form
    436,845/959,343 = 959,343/x
  3. Step 3: Cross multiply
    436,845x = 959,343 × 959,343
  4. Step 4: Simplify right side
    436,845x = 920,338,991,649
  5. Step 5: Solve for x
    x = 920,338,991,649/436,845
  6. Step 6: Final answer
    x = 2,106,786.14

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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.