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Finding the Third Proportional to 1,469,713.50 and 2,998,473.75

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Solution

The third proportional to 1,469,713.50 and 2,998,473.75 is: 6,117,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,713.50 : 2,998,473.75 = 2,998,473.75 : x
  2. Step 2: Convert to fraction form
    1,469,713.50/2,998,473.75 = 2,998,473.75/x
  3. Step 3: Cross multiply
    1,469,713.50x = 2,998,473.75 × 2,998,473.75
  4. Step 4: Simplify right side
    1,469,713.50x = 8,990,844,829,439.06
  5. Step 5: Solve for x
    x = 8,990,844,829,439.06/1,469,713.50
  6. Step 6: Final answer
    x = 6,117,413.24

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.