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Finding the Third Proportional to 857,568 and 1,738,464

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Solution

The third proportional to 857,568 and 1,738,464 is: 3,524,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,568 : 1,738,464 = 1,738,464 : x
  2. Step 2: Convert to fraction form
    857,568/1,738,464 = 1,738,464/x
  3. Step 3: Cross multiply
    857,568x = 1,738,464 × 1,738,464
  4. Step 4: Simplify right side
    857,568x = 3,022,257,079,296
  5. Step 5: Solve for x
    x = 3,022,257,079,296/857,568
  6. Step 6: Final answer
    x = 3,524,218.58

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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.