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Finding the Third Proportional to 946,982 and 2,282,162

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Solution

The third proportional to 946,982 and 2,282,162 is: 5,499,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,982 : 2,282,162 = 2,282,162 : x
  2. Step 2: Convert to fraction form
    946,982/2,282,162 = 2,282,162/x
  3. Step 3: Cross multiply
    946,982x = 2,282,162 × 2,282,162
  4. Step 4: Simplify right side
    946,982x = 5,208,263,394,244
  5. Step 5: Solve for x
    x = 5,208,263,394,244/946,982
  6. Step 6: Final answer
    x = 5,499,854.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.