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Finding the Third Proportional to 440,067 and 964,212

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Solution

The third proportional to 440,067 and 964,212 is: 2,112,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,067 : 964,212 = 964,212 : x
  2. Step 2: Convert to fraction form
    440,067/964,212 = 964,212/x
  3. Step 3: Cross multiply
    440,067x = 964,212 × 964,212
  4. Step 4: Simplify right side
    440,067x = 929,704,780,944
  5. Step 5: Solve for x
    x = 929,704,780,944/440,067
  6. Step 6: Final answer
    x = 2,112,643.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.