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Finding the Third Proportional to 429,824 and 923,067

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Solution

The third proportional to 429,824 and 923,067 is: 1,982,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,824 : 923,067 = 923,067 : x
  2. Step 2: Convert to fraction form
    429,824/923,067 = 923,067/x
  3. Step 3: Cross multiply
    429,824x = 923,067 × 923,067
  4. Step 4: Simplify right side
    429,824x = 852,052,686,489
  5. Step 5: Solve for x
    x = 852,052,686,489/429,824
  6. Step 6: Final answer
    x = 1,982,329.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.