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Finding the Third Proportional to 436,847 and 959,347

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Solution

The third proportional to 436,847 and 959,347 is: 2,106,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,847 : 959,347 = 959,347 : x
  2. Step 2: Convert to fraction form
    436,847/959,347 = 959,347/x
  3. Step 3: Cross multiply
    436,847x = 959,347 × 959,347
  4. Step 4: Simplify right side
    436,847x = 920,346,666,409
  5. Step 5: Solve for x
    x = 920,346,666,409/436,847
  6. Step 6: Final answer
    x = 2,106,794.06

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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.