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Finding the Third Proportional to 4,486,884 and 6,728,634

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Solution

The third proportional to 4,486,884 and 6,728,634 is: 10,090,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,884 : 6,728,634 = 6,728,634 : x
  2. Step 2: Convert to fraction form
    4,486,884/6,728,634 = 6,728,634/x
  3. Step 3: Cross multiply
    4,486,884x = 6,728,634 × 6,728,634
  4. Step 4: Simplify right side
    4,486,884x = 45,274,515,505,956
  5. Step 5: Solve for x
    x = 45,274,515,505,956/4,486,884
  6. Step 6: Final answer
    x = 10,090,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.