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Finding the Third Proportional to 814,317.75 and 1,608,198.75

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Solution

The third proportional to 814,317.75 and 1,608,198.75 is: 3,176,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,317.75 : 1,608,198.75 = 1,608,198.75 : x
  2. Step 2: Convert to fraction form
    814,317.75/1,608,198.75 = 1,608,198.75/x
  3. Step 3: Cross multiply
    814,317.75x = 1,608,198.75 × 1,608,198.75
  4. Step 4: Simplify right side
    814,317.75x = 2,586,303,219,501.56
  5. Step 5: Solve for x
    x = 2,586,303,219,501.56/814,317.75
  6. Step 6: Final answer
    x = 3,176,036.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.