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Finding the Third Proportional to 441,567 and 983,061

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Solution

The third proportional to 441,567 and 983,061 is: 2,188,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,567 : 983,061 = 983,061 : x
  2. Step 2: Convert to fraction form
    441,567/983,061 = 983,061/x
  3. Step 3: Cross multiply
    441,567x = 983,061 × 983,061
  4. Step 4: Simplify right side
    441,567x = 966,408,929,721
  5. Step 5: Solve for x
    x = 966,408,929,721/441,567
  6. Step 6: Final answer
    x = 2,188,589.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.