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Finding the Third Proportional to 422,385 and 919,125

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Solution

The third proportional to 422,385 and 919,125 is: 2,000,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,385 : 919,125 = 919,125 : x
  2. Step 2: Convert to fraction form
    422,385/919,125 = 919,125/x
  3. Step 3: Cross multiply
    422,385x = 919,125 × 919,125
  4. Step 4: Simplify right side
    422,385x = 844,790,765,625
  5. Step 5: Solve for x
    x = 844,790,765,625/422,385
  6. Step 6: Final answer
    x = 2,000,049.16

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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.