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Finding the Third Proportional to 409,739 and 894,195

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Solution

The third proportional to 409,739 and 894,195 is: 1,951,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,739 : 894,195 = 894,195 : x
  2. Step 2: Convert to fraction form
    409,739/894,195 = 894,195/x
  3. Step 3: Cross multiply
    409,739x = 894,195 × 894,195
  4. Step 4: Simplify right side
    409,739x = 799,584,698,025
  5. Step 5: Solve for x
    x = 799,584,698,025/409,739
  6. Step 6: Final answer
    x = 1,951,448.84

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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.