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Finding the Third Proportional to 3,790,764.50 and 5,823,684.75

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Solution

The third proportional to 3,790,764.50 and 5,823,684.75 is: 8,946,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,764.50 : 5,823,684.75 = 5,823,684.75 : x
  2. Step 2: Convert to fraction form
    3,790,764.50/5,823,684.75 = 5,823,684.75/x
  3. Step 3: Cross multiply
    3,790,764.50x = 5,823,684.75 × 5,823,684.75
  4. Step 4: Simplify right side
    3,790,764.50x = 33,915,304,067,382.56
  5. Step 5: Solve for x
    x = 33,915,304,067,382.56/3,790,764.50
  6. Step 6: Final answer
    x = 8,946,824.33

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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.