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Finding the Third Proportional to 683,831 and 1,483,573

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Solution

The third proportional to 683,831 and 1,483,573 is: 3,218,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,831 : 1,483,573 = 1,483,573 : x
  2. Step 2: Convert to fraction form
    683,831/1,483,573 = 1,483,573/x
  3. Step 3: Cross multiply
    683,831x = 1,483,573 × 1,483,573
  4. Step 4: Simplify right side
    683,831x = 2,200,988,846,329
  5. Step 5: Solve for x
    x = 2,200,988,846,329/683,831
  6. Step 6: Final answer
    x = 3,218,615.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.