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Finding the Third Proportional to 3,782,241 and 5,813,293.50

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Solution

The third proportional to 3,782,241 and 5,813,293.50 is: 8,935,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,241 : 5,813,293.50 = 5,813,293.50 : x
  2. Step 2: Convert to fraction form
    3,782,241/5,813,293.50 = 5,813,293.50/x
  3. Step 3: Cross multiply
    3,782,241x = 5,813,293.50 × 5,813,293.50
  4. Step 4: Simplify right side
    3,782,241x = 33,794,381,317,142.25
  5. Step 5: Solve for x
    x = 33,794,381,317,142.25/3,782,241
  6. Step 6: Final answer
    x = 8,935,015.33

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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.