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Finding the Third Proportional to 475,738 and 998,172

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Solution

The third proportional to 475,738 and 998,172 is: 2,094,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,738 : 998,172 = 998,172 : x
  2. Step 2: Convert to fraction form
    475,738/998,172 = 998,172/x
  3. Step 3: Cross multiply
    475,738x = 998,172 × 998,172
  4. Step 4: Simplify right side
    475,738x = 996,347,341,584
  5. Step 5: Solve for x
    x = 996,347,341,584/475,738
  6. Step 6: Final answer
    x = 2,094,319.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.