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Finding the Third Proportional to 605,622 and 940,425

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Solution

The third proportional to 605,622 and 940,425 is: 1,460,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,622 : 940,425 = 940,425 : x
  2. Step 2: Convert to fraction form
    605,622/940,425 = 940,425/x
  3. Step 3: Cross multiply
    605,622x = 940,425 × 940,425
  4. Step 4: Simplify right side
    605,622x = 884,399,180,625
  5. Step 5: Solve for x
    x = 884,399,180,625/605,622
  6. Step 6: Final answer
    x = 1,460,315.48

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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.