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Finding the Third Proportional to 404,876 and 868,666

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Solution

The third proportional to 404,876 and 868,666 is: 1,863,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,876 : 868,666 = 868,666 : x
  2. Step 2: Convert to fraction form
    404,876/868,666 = 868,666/x
  3. Step 3: Cross multiply
    404,876x = 868,666 × 868,666
  4. Step 4: Simplify right side
    404,876x = 754,580,619,556
  5. Step 5: Solve for x
    x = 754,580,619,556/404,876
  6. Step 6: Final answer
    x = 1,863,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.