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Finding the Third Proportional to 778,947 and 1,619,811

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Solution

The third proportional to 778,947 and 1,619,811 is: 3,368,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,947 : 1,619,811 = 1,619,811 : x
  2. Step 2: Convert to fraction form
    778,947/1,619,811 = 1,619,811/x
  3. Step 3: Cross multiply
    778,947x = 1,619,811 × 1,619,811
  4. Step 4: Simplify right side
    778,947x = 2,623,787,675,721
  5. Step 5: Solve for x
    x = 2,623,787,675,721/778,947
  6. Step 6: Final answer
    x = 3,368,377.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.