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Finding the Third Proportional to 397,224 and 936,903

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Solution

The third proportional to 397,224 and 936,903 is: 2,209,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,224 : 936,903 = 936,903 : x
  2. Step 2: Convert to fraction form
    397,224/936,903 = 936,903/x
  3. Step 3: Cross multiply
    397,224x = 936,903 × 936,903
  4. Step 4: Simplify right side
    397,224x = 877,787,231,409
  5. Step 5: Solve for x
    x = 877,787,231,409/397,224
  6. Step 6: Final answer
    x = 2,209,804.12

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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.