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Finding the Third Proportional to 4,286,413.50 and 5,821,418.25

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Solution

The third proportional to 4,286,413.50 and 5,821,418.25 is: 7,906,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,413.50 : 5,821,418.25 = 5,821,418.25 : x
  2. Step 2: Convert to fraction form
    4,286,413.50/5,821,418.25 = 5,821,418.25/x
  3. Step 3: Cross multiply
    4,286,413.50x = 5,821,418.25 × 5,821,418.25
  4. Step 4: Simplify right side
    4,286,413.50x = 33,888,910,441,433.06
  5. Step 5: Solve for x
    x = 33,888,910,441,433.06/4,286,413.50
  6. Step 6: Final answer
    x = 7,906,122.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.