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Finding the Third Proportional to 773,175 and 1,568,094

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Solution

The third proportional to 773,175 and 1,568,094 is: 3,180,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,175 : 1,568,094 = 1,568,094 : x
  2. Step 2: Convert to fraction form
    773,175/1,568,094 = 1,568,094/x
  3. Step 3: Cross multiply
    773,175x = 1,568,094 × 1,568,094
  4. Step 4: Simplify right side
    773,175x = 2,458,918,792,836
  5. Step 5: Solve for x
    x = 2,458,918,792,836/773,175
  6. Step 6: Final answer
    x = 3,180,287.51

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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.