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Finding the Third Proportional to 608,843 and 969,647

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Solution

The third proportional to 608,843 and 969,647 is: 1,544,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,843 : 969,647 = 969,647 : x
  2. Step 2: Convert to fraction form
    608,843/969,647 = 969,647/x
  3. Step 3: Cross multiply
    608,843x = 969,647 × 969,647
  4. Step 4: Simplify right side
    608,843x = 940,215,304,609
  5. Step 5: Solve for x
    x = 940,215,304,609/608,843
  6. Step 6: Final answer
    x = 1,544,265.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.