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Finding the Third Proportional to 394,713 and 954,423

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Solution

The third proportional to 394,713 and 954,423 is: 2,307,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,713 : 954,423 = 954,423 : x
  2. Step 2: Convert to fraction form
    394,713/954,423 = 954,423/x
  3. Step 3: Cross multiply
    394,713x = 954,423 × 954,423
  4. Step 4: Simplify right side
    394,713x = 910,923,262,929
  5. Step 5: Solve for x
    x = 910,923,262,929/394,713
  6. Step 6: Final answer
    x = 2,307,811.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.