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Finding the Third Proportional to 513,831 and 1,083,057

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Solution

The third proportional to 513,831 and 1,083,057 is: 2,282,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,831 : 1,083,057 = 1,083,057 : x
  2. Step 2: Convert to fraction form
    513,831/1,083,057 = 1,083,057/x
  3. Step 3: Cross multiply
    513,831x = 1,083,057 × 1,083,057
  4. Step 4: Simplify right side
    513,831x = 1,173,012,465,249
  5. Step 5: Solve for x
    x = 1,173,012,465,249/513,831
  6. Step 6: Final answer
    x = 2,282,876.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.