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Finding the Third Proportional to 436,220 and 941,182

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Solution

The third proportional to 436,220 and 941,182 is: 2,030,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,220 : 941,182 = 941,182 : x
  2. Step 2: Convert to fraction form
    436,220/941,182 = 941,182/x
  3. Step 3: Cross multiply
    436,220x = 941,182 × 941,182
  4. Step 4: Simplify right side
    436,220x = 885,823,557,124
  5. Step 5: Solve for x
    x = 885,823,557,124/436,220
  6. Step 6: Final answer
    x = 2,030,680.75

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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.