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Finding the Third Proportional to 436,218 and 941,175

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Solution

The third proportional to 436,218 and 941,175 is: 2,030,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,218 : 941,175 = 941,175 : x
  2. Step 2: Convert to fraction form
    436,218/941,175 = 941,175/x
  3. Step 3: Cross multiply
    436,218x = 941,175 × 941,175
  4. Step 4: Simplify right side
    436,218x = 885,810,380,625
  5. Step 5: Solve for x
    x = 885,810,380,625/436,218
  6. Step 6: Final answer
    x = 2,030,659.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.