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Finding the Third Proportional to 422,404.88 and 874,736.44

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Solution

The third proportional to 422,404.88 and 874,736.44 is: 1,811,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,404.88 : 874,736.44 = 874,736.44 : x
  2. Step 2: Convert to fraction form
    422,404.88/874,736.44 = 874,736.44/x
  3. Step 3: Cross multiply
    422,404.88x = 874,736.44 × 874,736.44
  4. Step 4: Simplify right side
    422,404.88x = 765,163,835,090.19
  5. Step 5: Solve for x
    x = 765,163,835,090.19/422,404.88
  6. Step 6: Final answer
    x = 1,811,446.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.