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Finding the Third Proportional to 454,516 and 991,976

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Solution

The third proportional to 454,516 and 991,976 is: 2,164,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,516 : 991,976 = 991,976 : x
  2. Step 2: Convert to fraction form
    454,516/991,976 = 991,976/x
  3. Step 3: Cross multiply
    454,516x = 991,976 × 991,976
  4. Step 4: Simplify right side
    454,516x = 984,016,384,576
  5. Step 5: Solve for x
    x = 984,016,384,576/454,516
  6. Step 6: Final answer
    x = 2,164,976.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.