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Finding the Third Proportional to 409,731 and 894,180

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Solution

The third proportional to 409,731 and 894,180 is: 1,951,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,731 : 894,180 = 894,180 : x
  2. Step 2: Convert to fraction form
    409,731/894,180 = 894,180/x
  3. Step 3: Cross multiply
    409,731x = 894,180 × 894,180
  4. Step 4: Simplify right side
    409,731x = 799,557,872,400
  5. Step 5: Solve for x
    x = 799,557,872,400/409,731
  6. Step 6: Final answer
    x = 1,951,421.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.