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Finding the Third Proportional to 422,961.75 and 920,463.75

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Solution

The third proportional to 422,961.75 and 920,463.75 is: 2,003,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,961.75 : 920,463.75 = 920,463.75 : x
  2. Step 2: Convert to fraction form
    422,961.75/920,463.75 = 920,463.75/x
  3. Step 3: Cross multiply
    422,961.75x = 920,463.75 × 920,463.75
  4. Step 4: Simplify right side
    422,961.75x = 847,253,515,064.06
  5. Step 5: Solve for x
    x = 847,253,515,064.06/422,961.75
  6. Step 6: Final answer
    x = 2,003,144.53

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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.