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Finding the Third Proportional to 1,997,379 and 2,826,231.75

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Solution

The third proportional to 1,997,379 and 2,826,231.75 is: 3,999,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,379 : 2,826,231.75 = 2,826,231.75 : x
  2. Step 2: Convert to fraction form
    1,997,379/2,826,231.75 = 2,826,231.75/x
  3. Step 3: Cross multiply
    1,997,379x = 2,826,231.75 × 2,826,231.75
  4. Step 4: Simplify right side
    1,997,379x = 7,987,585,904,708.06
  5. Step 5: Solve for x
    x = 7,987,585,904,708.06/1,997,379
  6. Step 6: Final answer
    x = 3,999,033.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.