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Finding the Third Proportional to 769,956 and 1,198,450

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Solution

The third proportional to 769,956 and 1,198,450 is: 1,865,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,956 : 1,198,450 = 1,198,450 : x
  2. Step 2: Convert to fraction form
    769,956/1,198,450 = 1,198,450/x
  3. Step 3: Cross multiply
    769,956x = 1,198,450 × 1,198,450
  4. Step 4: Simplify right side
    769,956x = 1,436,282,402,500
  5. Step 5: Solve for x
    x = 1,436,282,402,500/769,956
  6. Step 6: Final answer
    x = 1,865,408.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.