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Finding the Third Proportional to 773,184 and 1,568,112

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Solution

The third proportional to 773,184 and 1,568,112 is: 3,180,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,184 : 1,568,112 = 1,568,112 : x
  2. Step 2: Convert to fraction form
    773,184/1,568,112 = 1,568,112/x
  3. Step 3: Cross multiply
    773,184x = 1,568,112 × 1,568,112
  4. Step 4: Simplify right side
    773,184x = 2,458,975,244,544
  5. Step 5: Solve for x
    x = 2,458,975,244,544/773,184
  6. Step 6: Final answer
    x = 3,180,323.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.