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Finding the Third Proportional to 1,402,413.75 and 3,071,778.19

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Solution

The third proportional to 1,402,413.75 and 3,071,778.19 is: 6,728,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,413.75 : 3,071,778.19 = 3,071,778.19 : x
  2. Step 2: Convert to fraction form
    1,402,413.75/3,071,778.19 = 3,071,778.19/x
  3. Step 3: Cross multiply
    1,402,413.75x = 3,071,778.19 × 3,071,778.19
  4. Step 4: Simplify right side
    1,402,413.75x = 9,435,821,233,200.79
  5. Step 5: Solve for x
    x = 9,435,821,233,200.79/1,402,413.75
  6. Step 6: Final answer
    x = 6,728,272.05

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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.