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Finding the Third Proportional to 444,924 and 1,049,832

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Solution

The third proportional to 444,924 and 1,049,832 is: 2,477,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,924 : 1,049,832 = 1,049,832 : x
  2. Step 2: Convert to fraction form
    444,924/1,049,832 = 1,049,832/x
  3. Step 3: Cross multiply
    444,924x = 1,049,832 × 1,049,832
  4. Step 4: Simplify right side
    444,924x = 1,102,147,228,224
  5. Step 5: Solve for x
    x = 1,102,147,228,224/444,924
  6. Step 6: Final answer
    x = 2,477,158.41

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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.