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Finding the Third Proportional to 798,816 and 1,738,692

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Solution

The third proportional to 798,816 and 1,738,692 is: 3,784,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,816 : 1,738,692 = 1,738,692 : x
  2. Step 2: Convert to fraction form
    798,816/1,738,692 = 1,738,692/x
  3. Step 3: Cross multiply
    798,816x = 1,738,692 × 1,738,692
  4. Step 4: Simplify right side
    798,816x = 3,023,049,870,864
  5. Step 5: Solve for x
    x = 3,023,049,870,864/798,816
  6. Step 6: Final answer
    x = 3,784,413.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.