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Finding the Third Proportional to 670,413.38 and 1,466,159.06

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Solution

The third proportional to 670,413.38 and 1,466,159.06 is: 3,206,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,413.38 : 1,466,159.06 = 1,466,159.06 : x
  2. Step 2: Convert to fraction form
    670,413.38/1,466,159.06 = 1,466,159.06/x
  3. Step 3: Cross multiply
    670,413.38x = 1,466,159.06 × 1,466,159.06
  4. Step 4: Simplify right side
    670,413.38x = 2,149,622,396,550.88
  5. Step 5: Solve for x
    x = 2,149,622,396,550.88/670,413.38
  6. Step 6: Final answer
    x = 3,206,413.35

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