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Finding the Third Proportional to 2,462,148 and 3,782,163

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Solution

The third proportional to 2,462,148 and 3,782,163 is: 5,809,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,148 : 3,782,163 = 3,782,163 : x
  2. Step 2: Convert to fraction form
    2,462,148/3,782,163 = 3,782,163/x
  3. Step 3: Cross multiply
    2,462,148x = 3,782,163 × 3,782,163
  4. Step 4: Simplify right side
    2,462,148x = 14,304,756,958,569
  5. Step 5: Solve for x
    x = 14,304,756,958,569/2,462,148
  6. Step 6: Final answer
    x = 5,809,868.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.