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Finding the Third Proportional to 465,084 and 996,596

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Solution

The third proportional to 465,084 and 996,596 is: 2,135,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,084 : 996,596 = 996,596 : x
  2. Step 2: Convert to fraction form
    465,084/996,596 = 996,596/x
  3. Step 3: Cross multiply
    465,084x = 996,596 × 996,596
  4. Step 4: Simplify right side
    465,084x = 993,203,587,216
  5. Step 5: Solve for x
    x = 993,203,587,216/465,084
  6. Step 6: Final answer
    x = 2,135,535.92

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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.