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Finding the Third Proportional to 465,793 and 997,986

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Solution

The third proportional to 465,793 and 997,986 is: 2,138,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,793 : 997,986 = 997,986 : x
  2. Step 2: Convert to fraction form
    465,793/997,986 = 997,986/x
  3. Step 3: Cross multiply
    465,793x = 997,986 × 997,986
  4. Step 4: Simplify right side
    465,793x = 995,976,056,196
  5. Step 5: Solve for x
    x = 995,976,056,196/465,793
  6. Step 6: Final answer
    x = 2,138,237.49

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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.