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Finding the Third Proportional to 451,793 and 941,041

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Solution

The third proportional to 451,793 and 941,041 is: 1,960,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,793 : 941,041 = 941,041 : x
  2. Step 2: Convert to fraction form
    451,793/941,041 = 941,041/x
  3. Step 3: Cross multiply
    451,793x = 941,041 × 941,041
  4. Step 4: Simplify right side
    451,793x = 885,558,163,681
  5. Step 5: Solve for x
    x = 885,558,163,681/451,793
  6. Step 6: Final answer
    x = 1,960,097.13

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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.