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Finding the Third Proportional to 800,098 and 1,749,570.50

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Solution

The third proportional to 800,098 and 1,749,570.50 is: 3,825,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,098 : 1,749,570.50 = 1,749,570.50 : x
  2. Step 2: Convert to fraction form
    800,098/1,749,570.50 = 1,749,570.50/x
  3. Step 3: Cross multiply
    800,098x = 1,749,570.50 × 1,749,570.50
  4. Step 4: Simplify right side
    800,098x = 3,060,996,934,470.25
  5. Step 5: Solve for x
    x = 3,060,996,934,470.25/800,098
  6. Step 6: Final answer
    x = 3,825,777.51

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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.