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Finding the Third Proportional to 447,828 and 946,212

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Solution

The third proportional to 447,828 and 946,212 is: 1,999,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,828 : 946,212 = 946,212 : x
  2. Step 2: Convert to fraction form
    447,828/946,212 = 946,212/x
  3. Step 3: Cross multiply
    447,828x = 946,212 × 946,212
  4. Step 4: Simplify right side
    447,828x = 895,317,148,944
  5. Step 5: Solve for x
    x = 895,317,148,944/447,828
  6. Step 6: Final answer
    x = 1,999,243.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.