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Finding the Third Proportional to 2,099,208 and 4,578,268.50

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Solution

The third proportional to 2,099,208 and 4,578,268.50 is: 9,984,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,208 : 4,578,268.50 = 4,578,268.50 : x
  2. Step 2: Convert to fraction form
    2,099,208/4,578,268.50 = 4,578,268.50/x
  3. Step 3: Cross multiply
    2,099,208x = 4,578,268.50 × 4,578,268.50
  4. Step 4: Simplify right side
    2,099,208x = 20,960,542,458,092.25
  5. Step 5: Solve for x
    x = 20,960,542,458,092.25/2,099,208
  6. Step 6: Final answer
    x = 9,984,976.46

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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.