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Finding the Third Proportional to 397,226 and 936,908

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Solution

The third proportional to 397,226 and 936,908 is: 2,209,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,226 : 936,908 = 936,908 : x
  2. Step 2: Convert to fraction form
    397,226/936,908 = 936,908/x
  3. Step 3: Cross multiply
    397,226x = 936,908 × 936,908
  4. Step 4: Simplify right side
    397,226x = 877,796,600,464
  5. Step 5: Solve for x
    x = 877,796,600,464/397,226
  6. Step 6: Final answer
    x = 2,209,816.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.