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Finding the Third Proportional to 766,960 and 1,203,198

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Solution

The third proportional to 766,960 and 1,203,198 is: 1,887,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,960 : 1,203,198 = 1,203,198 : x
  2. Step 2: Convert to fraction form
    766,960/1,203,198 = 1,203,198/x
  3. Step 3: Cross multiply
    766,960x = 1,203,198 × 1,203,198
  4. Step 4: Simplify right side
    766,960x = 1,447,685,427,204
  5. Step 5: Solve for x
    x = 1,447,685,427,204/766,960
  6. Step 6: Final answer
    x = 1,887,563.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.