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Finding the Third Proportional to 801,825 and 1,198,809

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Solution

The third proportional to 801,825 and 1,198,809 is: 1,792,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,825 : 1,198,809 = 1,198,809 : x
  2. Step 2: Convert to fraction form
    801,825/1,198,809 = 1,198,809/x
  3. Step 3: Cross multiply
    801,825x = 1,198,809 × 1,198,809
  4. Step 4: Simplify right side
    801,825x = 1,437,143,018,481
  5. Step 5: Solve for x
    x = 1,437,143,018,481/801,825
  6. Step 6: Final answer
    x = 1,792,340.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.