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Finding the Third Proportional to 655,478 and 996,901

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Solution

The third proportional to 655,478 and 996,901 is: 1,516,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,478 : 996,901 = 996,901 : x
  2. Step 2: Convert to fraction form
    655,478/996,901 = 996,901/x
  3. Step 3: Cross multiply
    655,478x = 996,901 × 996,901
  4. Step 4: Simplify right side
    655,478x = 993,811,603,801
  5. Step 5: Solve for x
    x = 993,811,603,801/655,478
  6. Step 6: Final answer
    x = 1,516,163.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.