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Finding the Third Proportional to 451,469 and 940,306

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Solution

The third proportional to 451,469 and 940,306 is: 1,958,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,469 : 940,306 = 940,306 : x
  2. Step 2: Convert to fraction form
    451,469/940,306 = 940,306/x
  3. Step 3: Cross multiply
    451,469x = 940,306 × 940,306
  4. Step 4: Simplify right side
    451,469x = 884,175,373,636
  5. Step 5: Solve for x
    x = 884,175,373,636/451,469
  6. Step 6: Final answer
    x = 1,958,440.94

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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.