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Finding the Third Proportional to 850,104 and 1,796,149

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Solution

The third proportional to 850,104 and 1,796,149 is: 3,795,007.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,104 : 1,796,149 = 1,796,149 : x
  2. Step 2: Convert to fraction form
    850,104/1,796,149 = 1,796,149/x
  3. Step 3: Cross multiply
    850,104x = 1,796,149 × 1,796,149
  4. Step 4: Simplify right side
    850,104x = 3,226,151,230,201
  5. Step 5: Solve for x
    x = 3,226,151,230,201/850,104
  6. Step 6: Final answer
    x = 3,795,007.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.