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Finding the Third Proportional to 512,826 and 796,122

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Solution

The third proportional to 512,826 and 796,122 is: 1,235,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,826 : 796,122 = 796,122 : x
  2. Step 2: Convert to fraction form
    512,826/796,122 = 796,122/x
  3. Step 3: Cross multiply
    512,826x = 796,122 × 796,122
  4. Step 4: Simplify right side
    512,826x = 633,810,238,884
  5. Step 5: Solve for x
    x = 633,810,238,884/512,826
  6. Step 6: Final answer
    x = 1,235,916.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.