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Finding the Third Proportional to 894,793.50 and 1,382,413.50

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Solution

The third proportional to 894,793.50 and 1,382,413.50 is: 2,135,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,793.50 : 1,382,413.50 = 1,382,413.50 : x
  2. Step 2: Convert to fraction form
    894,793.50/1,382,413.50 = 1,382,413.50/x
  3. Step 3: Cross multiply
    894,793.50x = 1,382,413.50 × 1,382,413.50
  4. Step 4: Simplify right side
    894,793.50x = 1,911,067,084,982.25
  5. Step 5: Solve for x
    x = 1,911,067,084,982.25/894,793.50
  6. Step 6: Final answer
    x = 2,135,763.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.