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Finding the Third Proportional to 809,002.69 and 1,797,582.38

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Solution

The third proportional to 809,002.69 and 1,797,582.38 is: 3,994,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,002.69 : 1,797,582.38 = 1,797,582.38 : x
  2. Step 2: Convert to fraction form
    809,002.69/1,797,582.38 = 1,797,582.38/x
  3. Step 3: Cross multiply
    809,002.69x = 1,797,582.38 × 1,797,582.38
  4. Step 4: Simplify right side
    809,002.69x = 3,231,302,394,910.64
  5. Step 5: Solve for x
    x = 3,231,302,394,910.64/809,002.69
  6. Step 6: Final answer
    x = 3,994,180.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.