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Finding the Third Proportional to 409,288 and 885,834

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Solution

The third proportional to 409,288 and 885,834 is: 1,917,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,288 : 885,834 = 885,834 : x
  2. Step 2: Convert to fraction form
    409,288/885,834 = 885,834/x
  3. Step 3: Cross multiply
    409,288x = 885,834 × 885,834
  4. Step 4: Simplify right side
    409,288x = 784,701,875,556
  5. Step 5: Solve for x
    x = 784,701,875,556/409,288
  6. Step 6: Final answer
    x = 1,917,236.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.