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Finding the Third Proportional to 1,998,163.69 and 4,133,404.69

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Solution

The third proportional to 1,998,163.69 and 4,133,404.69 is: 8,550,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998,163.69 : 4,133,404.69 = 4,133,404.69 : x
  2. Step 2: Convert to fraction form
    1,998,163.69/4,133,404.69 = 4,133,404.69/x
  3. Step 3: Cross multiply
    1,998,163.69x = 4,133,404.69 × 4,133,404.69
  4. Step 4: Simplify right side
    1,998,163.69x = 17,085,034,310,646.97
  5. Step 5: Solve for x
    x = 17,085,034,310,646.97/1,998,163.69
  6. Step 6: Final answer
    x = 8,550,367.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.