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Finding the Third Proportional to 412,172 and 868,626

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Solution

The third proportional to 412,172 and 868,626 is: 1,830,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,172 : 868,626 = 868,626 : x
  2. Step 2: Convert to fraction form
    412,172/868,626 = 868,626/x
  3. Step 3: Cross multiply
    412,172x = 868,626 × 868,626
  4. Step 4: Simplify right side
    412,172x = 754,511,127,876
  5. Step 5: Solve for x
    x = 754,511,127,876/412,172
  6. Step 6: Final answer
    x = 1,830,573.47

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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.