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Finding the Third Proportional to 414,956 and 905,296

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Solution

The third proportional to 414,956 and 905,296 is: 1,975,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,956 : 905,296 = 905,296 : x
  2. Step 2: Convert to fraction form
    414,956/905,296 = 905,296/x
  3. Step 3: Cross multiply
    414,956x = 905,296 × 905,296
  4. Step 4: Simplify right side
    414,956x = 819,560,847,616
  5. Step 5: Solve for x
    x = 819,560,847,616/414,956
  6. Step 6: Final answer
    x = 1,975,054.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.