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Finding the Third Proportional to 451,826 and 941,107

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Solution

The third proportional to 451,826 and 941,107 is: 1,960,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,826 : 941,107 = 941,107 : x
  2. Step 2: Convert to fraction form
    451,826/941,107 = 941,107/x
  3. Step 3: Cross multiply
    451,826x = 941,107 × 941,107
  4. Step 4: Simplify right side
    451,826x = 885,682,385,449
  5. Step 5: Solve for x
    x = 885,682,385,449/451,826
  6. Step 6: Final answer
    x = 1,960,228.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.