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Finding the Third Proportional to 634,382 and 1,394,942

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Solution

The third proportional to 634,382 and 1,394,942 is: 3,067,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,382 : 1,394,942 = 1,394,942 : x
  2. Step 2: Convert to fraction form
    634,382/1,394,942 = 1,394,942/x
  3. Step 3: Cross multiply
    634,382x = 1,394,942 × 1,394,942
  4. Step 4: Simplify right side
    634,382x = 1,945,863,183,364
  5. Step 5: Solve for x
    x = 1,945,863,183,364/634,382
  6. Step 6: Final answer
    x = 3,067,336.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.