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Finding the Third Proportional to 444,928 and 1,049,842

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Solution

The third proportional to 444,928 and 1,049,842 is: 2,477,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,928 : 1,049,842 = 1,049,842 : x
  2. Step 2: Convert to fraction form
    444,928/1,049,842 = 1,049,842/x
  3. Step 3: Cross multiply
    444,928x = 1,049,842 × 1,049,842
  4. Step 4: Simplify right side
    444,928x = 1,102,168,224,964
  5. Step 5: Solve for x
    x = 1,102,168,224,964/444,928
  6. Step 6: Final answer
    x = 2,477,183.33

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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.