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Finding the Third Proportional to 481,744 and 1,049,281

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Solution

The third proportional to 481,744 and 1,049,281 is: 2,285,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,744 : 1,049,281 = 1,049,281 : x
  2. Step 2: Convert to fraction form
    481,744/1,049,281 = 1,049,281/x
  3. Step 3: Cross multiply
    481,744x = 1,049,281 × 1,049,281
  4. Step 4: Simplify right side
    481,744x = 1,100,990,616,961
  5. Step 5: Solve for x
    x = 1,100,990,616,961/481,744
  6. Step 6: Final answer
    x = 2,285,426.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.