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Finding the Third Proportional to 534,240 and 1,151,422

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Solution

The third proportional to 534,240 and 1,151,422 is: 2,481,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,240 : 1,151,422 = 1,151,422 : x
  2. Step 2: Convert to fraction form
    534,240/1,151,422 = 1,151,422/x
  3. Step 3: Cross multiply
    534,240x = 1,151,422 × 1,151,422
  4. Step 4: Simplify right side
    534,240x = 1,325,772,622,084
  5. Step 5: Solve for x
    x = 1,325,772,622,084/534,240
  6. Step 6: Final answer
    x = 2,481,604.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.