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Finding the Third Proportional to 436,178 and 888,394

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Solution

The third proportional to 436,178 and 888,394 is: 1,809,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,178 : 888,394 = 888,394 : x
  2. Step 2: Convert to fraction form
    436,178/888,394 = 888,394/x
  3. Step 3: Cross multiply
    436,178x = 888,394 × 888,394
  4. Step 4: Simplify right side
    436,178x = 789,243,899,236
  5. Step 5: Solve for x
    x = 789,243,899,236/436,178
  6. Step 6: Final answer
    x = 1,809,453.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.