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Finding the Third Proportional to 793,749.38 and 1,192,413.66

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Solution

The third proportional to 793,749.38 and 1,192,413.66 is: 1,791,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,749.38 : 1,192,413.66 = 1,192,413.66 : x
  2. Step 2: Convert to fraction form
    793,749.38/1,192,413.66 = 1,192,413.66/x
  3. Step 3: Cross multiply
    793,749.38x = 1,192,413.66 × 1,192,413.66
  4. Step 4: Simplify right side
    793,749.38x = 1,421,850,327,611.49
  5. Step 5: Solve for x
    x = 1,421,850,327,611.49/793,749.38
  6. Step 6: Final answer
    x = 1,791,308.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.