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Finding the Third Proportional to 800,047.50 and 1,749,538.50

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Solution

The third proportional to 800,047.50 and 1,749,538.50 is: 3,825,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,047.50 : 1,749,538.50 = 1,749,538.50 : x
  2. Step 2: Convert to fraction form
    800,047.50/1,749,538.50 = 1,749,538.50/x
  3. Step 3: Cross multiply
    800,047.50x = 1,749,538.50 × 1,749,538.50
  4. Step 4: Simplify right side
    800,047.50x = 3,060,884,962,982.25
  5. Step 5: Solve for x
    x = 3,060,884,962,982.25/800,047.50
  6. Step 6: Final answer
    x = 3,825,879.04

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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.