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Finding the Third Proportional to 412,191 and 868,662

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Solution

The third proportional to 412,191 and 868,662 is: 1,830,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,191 : 868,662 = 868,662 : x
  2. Step 2: Convert to fraction form
    412,191/868,662 = 868,662/x
  3. Step 3: Cross multiply
    412,191x = 868,662 × 868,662
  4. Step 4: Simplify right side
    412,191x = 754,573,670,244
  5. Step 5: Solve for x
    x = 754,573,670,244/412,191
  6. Step 6: Final answer
    x = 1,830,640.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.