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Finding the Third Proportional to 465,037 and 996,502

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Solution

The third proportional to 465,037 and 996,502 is: 2,135,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,037 : 996,502 = 996,502 : x
  2. Step 2: Convert to fraction form
    465,037/996,502 = 996,502/x
  3. Step 3: Cross multiply
    465,037x = 996,502 × 996,502
  4. Step 4: Simplify right side
    465,037x = 993,016,236,004
  5. Step 5: Solve for x
    x = 993,016,236,004/465,037
  6. Step 6: Final answer
    x = 2,135,348.88

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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.