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Finding the Third Proportional to 778,930.50 and 1,619,778.75

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Solution

The third proportional to 778,930.50 and 1,619,778.75 is: 3,368,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,930.50 : 1,619,778.75 = 1,619,778.75 : x
  2. Step 2: Convert to fraction form
    778,930.50/1,619,778.75 = 1,619,778.75/x
  3. Step 3: Cross multiply
    778,930.50x = 1,619,778.75 × 1,619,778.75
  4. Step 4: Simplify right side
    778,930.50x = 2,623,683,198,951.56
  5. Step 5: Solve for x
    x = 2,623,683,198,951.56/778,930.50
  6. Step 6: Final answer
    x = 3,368,314.89

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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.