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Finding the Third Proportional to 444,129 and 964,074

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Solution

The third proportional to 444,129 and 964,074 is: 2,092,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,129 : 964,074 = 964,074 : x
  2. Step 2: Convert to fraction form
    444,129/964,074 = 964,074/x
  3. Step 3: Cross multiply
    444,129x = 964,074 × 964,074
  4. Step 4: Simplify right side
    444,129x = 929,438,677,476
  5. Step 5: Solve for x
    x = 929,438,677,476/444,129
  6. Step 6: Final answer
    x = 2,092,722.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.