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Finding the Third Proportional to 605,626 and 940,422

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Solution

The third proportional to 605,626 and 940,422 is: 1,460,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,626 : 940,422 = 940,422 : x
  2. Step 2: Convert to fraction form
    605,626/940,422 = 940,422/x
  3. Step 3: Cross multiply
    605,626x = 940,422 × 940,422
  4. Step 4: Simplify right side
    605,626x = 884,393,538,084
  5. Step 5: Solve for x
    x = 884,393,538,084/605,626
  6. Step 6: Final answer
    x = 1,460,296.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.