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Finding the Third Proportional to 451,786 and 941,027

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Solution

The third proportional to 451,786 and 941,027 is: 1,960,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,786 : 941,027 = 941,027 : x
  2. Step 2: Convert to fraction form
    451,786/941,027 = 941,027/x
  3. Step 3: Cross multiply
    451,786x = 941,027 × 941,027
  4. Step 4: Simplify right side
    451,786x = 885,531,814,729
  5. Step 5: Solve for x
    x = 885,531,814,729/451,786
  6. Step 6: Final answer
    x = 1,960,069.18

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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.