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Finding the Third Proportional to 601,661 and 902,622

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Solution

The third proportional to 601,661 and 902,622 is: 1,354,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,661 : 902,622 = 902,622 : x
  2. Step 2: Convert to fraction form
    601,661/902,622 = 902,622/x
  3. Step 3: Cross multiply
    601,661x = 902,622 × 902,622
  4. Step 4: Simplify right side
    601,661x = 814,726,474,884
  5. Step 5: Solve for x
    x = 814,726,474,884/601,661
  6. Step 6: Final answer
    x = 1,354,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.