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Finding the Third Proportional to 375,927 and 826,626

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Solution

The third proportional to 375,927 and 826,626 is: 1,817,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,927 : 826,626 = 826,626 : x
  2. Step 2: Convert to fraction form
    375,927/826,626 = 826,626/x
  3. Step 3: Cross multiply
    375,927x = 826,626 × 826,626
  4. Step 4: Simplify right side
    375,927x = 683,310,543,876
  5. Step 5: Solve for x
    x = 683,310,543,876/375,927
  6. Step 6: Final answer
    x = 1,817,668.17

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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.