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Finding the Third Proportional to 409,617 and 886,302

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Solution

The third proportional to 409,617 and 886,302 is: 1,917,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,617 : 886,302 = 886,302 : x
  2. Step 2: Convert to fraction form
    409,617/886,302 = 886,302/x
  3. Step 3: Cross multiply
    409,617x = 886,302 × 886,302
  4. Step 4: Simplify right side
    409,617x = 785,531,235,204
  5. Step 5: Solve for x
    x = 785,531,235,204/409,617
  6. Step 6: Final answer
    x = 1,917,721.27

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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.