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Finding the Third Proportional to 419,400 and 905,544

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Solution

The third proportional to 419,400 and 905,544 is: 1,955,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,400 : 905,544 = 905,544 : x
  2. Step 2: Convert to fraction form
    419,400/905,544 = 905,544/x
  3. Step 3: Cross multiply
    419,400x = 905,544 × 905,544
  4. Step 4: Simplify right side
    419,400x = 820,009,935,936
  5. Step 5: Solve for x
    x = 820,009,935,936/419,400
  6. Step 6: Final answer
    x = 1,955,197.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.