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Finding the Third Proportional to 444,829 and 1,049,081

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Solution

The third proportional to 444,829 and 1,049,081 is: 2,474,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,829 : 1,049,081 = 1,049,081 : x
  2. Step 2: Convert to fraction form
    444,829/1,049,081 = 1,049,081/x
  3. Step 3: Cross multiply
    444,829x = 1,049,081 × 1,049,081
  4. Step 4: Simplify right side
    444,829x = 1,100,570,944,561
  5. Step 5: Solve for x
    x = 1,100,570,944,561/444,829
  6. Step 6: Final answer
    x = 2,474,143.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.