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Finding the Third Proportional to 801,828 and 1,198,813.50

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Solution

The third proportional to 801,828 and 1,198,813.50 is: 1,792,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,828 : 1,198,813.50 = 1,198,813.50 : x
  2. Step 2: Convert to fraction form
    801,828/1,198,813.50 = 1,198,813.50/x
  3. Step 3: Cross multiply
    801,828x = 1,198,813.50 × 1,198,813.50
  4. Step 4: Simplify right side
    801,828x = 1,437,153,807,782.25
  5. Step 5: Solve for x
    x = 1,437,153,807,782.25/801,828
  6. Step 6: Final answer
    x = 1,792,346.75

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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.