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Finding the Third Proportional to 701,867 and 1,057,789

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Solution

The third proportional to 701,867 and 1,057,789 is: 1,594,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,867 : 1,057,789 = 1,057,789 : x
  2. Step 2: Convert to fraction form
    701,867/1,057,789 = 1,057,789/x
  3. Step 3: Cross multiply
    701,867x = 1,057,789 × 1,057,789
  4. Step 4: Simplify right side
    701,867x = 1,118,917,568,521
  5. Step 5: Solve for x
    x = 1,118,917,568,521/701,867
  6. Step 6: Final answer
    x = 1,594,201.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.