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Finding the Third Proportional to 465,796 and 997,992

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Solution

The third proportional to 465,796 and 997,992 is: 2,138,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,796 : 997,992 = 997,992 : x
  2. Step 2: Convert to fraction form
    465,796/997,992 = 997,992/x
  3. Step 3: Cross multiply
    465,796x = 997,992 × 997,992
  4. Step 4: Simplify right side
    465,796x = 995,988,032,064
  5. Step 5: Solve for x
    x = 995,988,032,064/465,796
  6. Step 6: Final answer
    x = 2,138,249.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.