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Finding the Third Proportional to 3,301,413.19 and 5,049,919.69

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Solution

The third proportional to 3,301,413.19 and 5,049,919.69 is: 7,724,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301,413.19 : 5,049,919.69 = 5,049,919.69 : x
  2. Step 2: Convert to fraction form
    3,301,413.19/5,049,919.69 = 5,049,919.69/x
  3. Step 3: Cross multiply
    3,301,413.19x = 5,049,919.69 × 5,049,919.69
  4. Step 4: Simplify right side
    3,301,413.19x = 25,501,688,850,200.10
  5. Step 5: Solve for x
    x = 25,501,688,850,200.10/3,301,413.19
  6. Step 6: Final answer
    x = 7,724,476.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.