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Finding the Third Proportional to 436,869 and 934,476

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Solution

The third proportional to 436,869 and 934,476 is: 1,998,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,869 : 934,476 = 934,476 : x
  2. Step 2: Convert to fraction form
    436,869/934,476 = 934,476/x
  3. Step 3: Cross multiply
    436,869x = 934,476 × 934,476
  4. Step 4: Simplify right side
    436,869x = 873,245,394,576
  5. Step 5: Solve for x
    x = 873,245,394,576/436,869
  6. Step 6: Final answer
    x = 1,998,872.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.