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Finding the Third Proportional to 465,797 and 997,993

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Solution

The third proportional to 465,797 and 997,993 is: 2,138,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,797 : 997,993 = 997,993 : x
  2. Step 2: Convert to fraction form
    465,797/997,993 = 997,993/x
  3. Step 3: Cross multiply
    465,797x = 997,993 × 997,993
  4. Step 4: Simplify right side
    465,797x = 995,990,028,049
  5. Step 5: Solve for x
    x = 995,990,028,049/465,797
  6. Step 6: Final answer
    x = 2,138,249.13

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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.