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Finding the Third Proportional to 800,057.25 and 1,749,559.50

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Solution

The third proportional to 800,057.25 and 1,749,559.50 is: 3,825,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,057.25 : 1,749,559.50 = 1,749,559.50 : x
  2. Step 2: Convert to fraction form
    800,057.25/1,749,559.50 = 1,749,559.50/x
  3. Step 3: Cross multiply
    800,057.25x = 1,749,559.50 × 1,749,559.50
  4. Step 4: Simplify right side
    800,057.25x = 3,060,958,444,040.25
  5. Step 5: Solve for x
    x = 3,060,958,444,040.25/800,057.25
  6. Step 6: Final answer
    x = 3,825,924.26

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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.