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Finding the Third Proportional to 436,840 and 959,336

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Solution

The third proportional to 436,840 and 959,336 is: 2,106,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,840 : 959,336 = 959,336 : x
  2. Step 2: Convert to fraction form
    436,840/959,336 = 959,336/x
  3. Step 3: Cross multiply
    436,840x = 959,336 × 959,336
  4. Step 4: Simplify right side
    436,840x = 920,325,560,896
  5. Step 5: Solve for x
    x = 920,325,560,896/436,840
  6. Step 6: Final answer
    x = 2,106,779.51

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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.