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Finding the Third Proportional to 404,961.75 and 886,195.13

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Solution

The third proportional to 404,961.75 and 886,195.13 is: 1,939,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,961.75 : 886,195.13 = 886,195.13 : x
  2. Step 2: Convert to fraction form
    404,961.75/886,195.13 = 886,195.13/x
  3. Step 3: Cross multiply
    404,961.75x = 886,195.13 × 886,195.13
  4. Step 4: Simplify right side
    404,961.75x = 785,341,799,573.77
  5. Step 5: Solve for x
    x = 785,341,799,573.77/404,961.75
  6. Step 6: Final answer
    x = 1,939,298.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.