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Finding the Third Proportional to 399,996 and 844,956

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Solution

The third proportional to 399,996 and 844,956 is: 1,784,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,996 : 844,956 = 844,956 : x
  2. Step 2: Convert to fraction form
    399,996/844,956 = 844,956/x
  3. Step 3: Cross multiply
    399,996x = 844,956 × 844,956
  4. Step 4: Simplify right side
    399,996x = 713,950,641,936
  5. Step 5: Solve for x
    x = 713,950,641,936/399,996
  6. Step 6: Final answer
    x = 1,784,894.45

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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.