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Finding the Third Proportional to 463,831 and 997,780

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Solution

The third proportional to 463,831 and 997,780 is: 2,146,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,831 : 997,780 = 997,780 : x
  2. Step 2: Convert to fraction form
    463,831/997,780 = 997,780/x
  3. Step 3: Cross multiply
    463,831x = 997,780 × 997,780
  4. Step 4: Simplify right side
    463,831x = 995,564,928,400
  5. Step 5: Solve for x
    x = 995,564,928,400/463,831
  6. Step 6: Final answer
    x = 2,146,395.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.