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Finding the Third Proportional to 451,827 and 941,109

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Solution

The third proportional to 451,827 and 941,109 is: 1,960,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,827 : 941,109 = 941,109 : x
  2. Step 2: Convert to fraction form
    451,827/941,109 = 941,109/x
  3. Step 3: Cross multiply
    451,827x = 941,109 × 941,109
  4. Step 4: Simplify right side
    451,827x = 885,686,149,881
  5. Step 5: Solve for x
    x = 885,686,149,881/451,827
  6. Step 6: Final answer
    x = 1,960,232.90

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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.