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Finding the Third Proportional to 1,942,413.75 and 4,225,068

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Solution

The third proportional to 1,942,413.75 and 4,225,068 is: 9,190,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,413.75 : 4,225,068 = 4,225,068 : x
  2. Step 2: Convert to fraction form
    1,942,413.75/4,225,068 = 4,225,068/x
  3. Step 3: Cross multiply
    1,942,413.75x = 4,225,068 × 4,225,068
  4. Step 4: Simplify right side
    1,942,413.75x = 17,851,199,604,624
  5. Step 5: Solve for x
    x = 17,851,199,604,624/1,942,413.75
  6. Step 6: Final answer
    x = 9,190,214.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.