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Finding the Third Proportional to 605,469 and 949,908

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Solution

The third proportional to 605,469 and 949,908 is: 1,490,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,469 : 949,908 = 949,908 : x
  2. Step 2: Convert to fraction form
    605,469/949,908 = 949,908/x
  3. Step 3: Cross multiply
    605,469x = 949,908 × 949,908
  4. Step 4: Simplify right side
    605,469x = 902,325,208,464
  5. Step 5: Solve for x
    x = 902,325,208,464/605,469
  6. Step 6: Final answer
    x = 1,490,291.34

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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.