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Finding the Third Proportional to 512,966 and 880,163

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Solution

The third proportional to 512,966 and 880,163 is: 1,510,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,966 : 880,163 = 880,163 : x
  2. Step 2: Convert to fraction form
    512,966/880,163 = 880,163/x
  3. Step 3: Cross multiply
    512,966x = 880,163 × 880,163
  4. Step 4: Simplify right side
    512,966x = 774,686,906,569
  5. Step 5: Solve for x
    x = 774,686,906,569/512,966
  6. Step 6: Final answer
    x = 1,510,211.02

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.