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Finding the Third Proportional to 409,092 and 894,744

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Solution

The third proportional to 409,092 and 894,744 is: 1,956,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,092 : 894,744 = 894,744 : x
  2. Step 2: Convert to fraction form
    409,092/894,744 = 894,744/x
  3. Step 3: Cross multiply
    409,092x = 894,744 × 894,744
  4. Step 4: Simplify right side
    409,092x = 800,566,825,536
  5. Step 5: Solve for x
    x = 800,566,825,536/409,092
  6. Step 6: Final answer
    x = 1,956,935.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.