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Finding the Third Proportional to 404,876 and 865,802

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Solution

The third proportional to 404,876 and 865,802 is: 1,851,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,876 : 865,802 = 865,802 : x
  2. Step 2: Convert to fraction form
    404,876/865,802 = 865,802/x
  3. Step 3: Cross multiply
    404,876x = 865,802 × 865,802
  4. Step 4: Simplify right side
    404,876x = 749,613,103,204
  5. Step 5: Solve for x
    x = 749,613,103,204/404,876
  6. Step 6: Final answer
    x = 1,851,463.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.