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Finding the Third Proportional to 444,912 and 1,049,811

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Solution

The third proportional to 444,912 and 1,049,811 is: 2,477,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,912 : 1,049,811 = 1,049,811 : x
  2. Step 2: Convert to fraction form
    444,912/1,049,811 = 1,049,811/x
  3. Step 3: Cross multiply
    444,912x = 1,049,811 × 1,049,811
  4. Step 4: Simplify right side
    444,912x = 1,102,103,135,721
  5. Step 5: Solve for x
    x = 1,102,103,135,721/444,912
  6. Step 6: Final answer
    x = 2,477,126.12

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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.