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Finding the Third Proportional to 1,794,413.81 and 3,937,583.06

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Solution

The third proportional to 1,794,413.81 and 3,937,583.06 is: 8,640,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,413.81 : 3,937,583.06 = 3,937,583.06 : x
  2. Step 2: Convert to fraction form
    1,794,413.81/3,937,583.06 = 3,937,583.06/x
  3. Step 3: Cross multiply
    1,794,413.81x = 3,937,583.06 × 3,937,583.06
  4. Step 4: Simplify right side
    1,794,413.81x = 15,504,560,374,086.88
  5. Step 5: Solve for x
    x = 15,504,560,374,086.88/1,794,413.81
  6. Step 6: Final answer
    x = 8,640,459.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.