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Finding the Third Proportional to 405,333 and 879,894

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Solution

The third proportional to 405,333 and 879,894 is: 1,910,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,333 : 879,894 = 879,894 : x
  2. Step 2: Convert to fraction form
    405,333/879,894 = 879,894/x
  3. Step 3: Cross multiply
    405,333x = 879,894 × 879,894
  4. Step 4: Simplify right side
    405,333x = 774,213,451,236
  5. Step 5: Solve for x
    x = 774,213,451,236/405,333
  6. Step 6: Final answer
    x = 1,910,067.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.