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Finding the Third Proportional to 827,879.25 and 1,832,814

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Solution

The third proportional to 827,879.25 and 1,832,814 is: 4,057,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,879.25 : 1,832,814 = 1,832,814 : x
  2. Step 2: Convert to fraction form
    827,879.25/1,832,814 = 1,832,814/x
  3. Step 3: Cross multiply
    827,879.25x = 1,832,814 × 1,832,814
  4. Step 4: Simplify right side
    827,879.25x = 3,359,207,158,596
  5. Step 5: Solve for x
    x = 3,359,207,158,596/827,879.25
  6. Step 6: Final answer
    x = 4,057,605.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.