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Finding the Third Proportional to 591,310.13 and 1,277,413.03

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Solution

The third proportional to 591,310.13 and 1,277,413.03 is: 2,759,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,310.13 : 1,277,413.03 = 1,277,413.03 : x
  2. Step 2: Convert to fraction form
    591,310.13/1,277,413.03 = 1,277,413.03/x
  3. Step 3: Cross multiply
    591,310.13x = 1,277,413.03 × 1,277,413.03
  4. Step 4: Simplify right side
    591,310.13x = 1,631,784,052,407.31
  5. Step 5: Solve for x
    x = 1,631,784,052,407.31/591,310.13
  6. Step 6: Final answer
    x = 2,759,607.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.