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Finding the Third Proportional to 411,512 and 842,092

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Solution

The third proportional to 411,512 and 842,092 is: 1,723,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,512 : 842,092 = 842,092 : x
  2. Step 2: Convert to fraction form
    411,512/842,092 = 842,092/x
  3. Step 3: Cross multiply
    411,512x = 842,092 × 842,092
  4. Step 4: Simplify right side
    411,512x = 709,118,936,464
  5. Step 5: Solve for x
    x = 709,118,936,464/411,512
  6. Step 6: Final answer
    x = 1,723,203.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.