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Finding the Third Proportional to 409,286 and 885,829

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Solution

The third proportional to 409,286 and 885,829 is: 1,917,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,286 : 885,829 = 885,829 : x
  2. Step 2: Convert to fraction form
    409,286/885,829 = 885,829/x
  3. Step 3: Cross multiply
    409,286x = 885,829 × 885,829
  4. Step 4: Simplify right side
    409,286x = 784,693,017,241
  5. Step 5: Solve for x
    x = 784,693,017,241/409,286
  6. Step 6: Final answer
    x = 1,917,224.18

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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.