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Finding the Third Proportional to 481,734 and 1,049,263

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Solution

The third proportional to 481,734 and 1,049,263 is: 2,285,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,734 : 1,049,263 = 1,049,263 : x
  2. Step 2: Convert to fraction form
    481,734/1,049,263 = 1,049,263/x
  3. Step 3: Cross multiply
    481,734x = 1,049,263 × 1,049,263
  4. Step 4: Simplify right side
    481,734x = 1,100,952,843,169
  5. Step 5: Solve for x
    x = 1,100,952,843,169/481,734
  6. Step 6: Final answer
    x = 2,285,395.76

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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.