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Finding the Third Proportional to 189,121 and 409,762

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Solution

The third proportional to 189,121 and 409,762 is: 887,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,121 : 409,762 = 409,762 : x
  2. Step 2: Convert to fraction form
    189,121/409,762 = 409,762/x
  3. Step 3: Cross multiply
    189,121x = 409,762 × 409,762
  4. Step 4: Simplify right side
    189,121x = 167,904,896,644
  5. Step 5: Solve for x
    x = 167,904,896,644/189,121
  6. Step 6: Final answer
    x = 887,817.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.