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Finding the Third Proportional to 512,811 and 512,811

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Solution

The third proportional to 512,811 and 512,811 is: 512,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,811 : 512,811 = 512,811 : x
  2. Step 2: Convert to fraction form
    512,811/512,811 = 512,811/x
  3. Step 3: Cross multiply
    512,811x = 512,811 × 512,811
  4. Step 4: Simplify right side
    512,811x = 262,975,121,721
  5. Step 5: Solve for x
    x = 262,975,121,721/512,811
  6. Step 6: Final answer
    x = 512,811

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Why These Related Problems?

These problems maintain the same ratio (1) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.