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Finding the Third Proportional to 445,796 and 869,266

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Solution

The third proportional to 445,796 and 869,266 is: 1,694,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,796 : 869,266 = 869,266 : x
  2. Step 2: Convert to fraction form
    445,796/869,266 = 869,266/x
  3. Step 3: Cross multiply
    445,796x = 869,266 × 869,266
  4. Step 4: Simplify right side
    445,796x = 755,623,378,756
  5. Step 5: Solve for x
    x = 755,623,378,756/445,796
  6. Step 6: Final answer
    x = 1,694,998.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.