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Finding the Third Proportional to 2,084,933.50 and 4,568,448

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Solution

The third proportional to 2,084,933.50 and 4,568,448 is: 10,010,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,933.50 : 4,568,448 = 4,568,448 : x
  2. Step 2: Convert to fraction form
    2,084,933.50/4,568,448 = 4,568,448/x
  3. Step 3: Cross multiply
    2,084,933.50x = 4,568,448 × 4,568,448
  4. Step 4: Simplify right side
    2,084,933.50x = 20,870,717,128,704
  5. Step 5: Solve for x
    x = 20,870,717,128,704/2,084,933.50
  6. Step 6: Final answer
    x = 10,010,255.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.