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Finding the Third Proportional to 422,373 and 919,104

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Solution

The third proportional to 422,373 and 919,104 is: 2,000,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,373 : 919,104 = 919,104 : x
  2. Step 2: Convert to fraction form
    422,373/919,104 = 919,104/x
  3. Step 3: Cross multiply
    422,373x = 919,104 × 919,104
  4. Step 4: Simplify right side
    422,373x = 844,752,162,816
  5. Step 5: Solve for x
    x = 844,752,162,816/422,373
  6. Step 6: Final answer
    x = 2,000,014.59

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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.