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Finding the Third Proportional to 409,416 and 888,756

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Solution

The third proportional to 409,416 and 888,756 is: 1,929,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416 : 888,756 = 888,756 : x
  2. Step 2: Convert to fraction form
    409,416/888,756 = 888,756/x
  3. Step 3: Cross multiply
    409,416x = 888,756 × 888,756
  4. Step 4: Simplify right side
    409,416x = 789,887,227,536
  5. Step 5: Solve for x
    x = 789,887,227,536/409,416
  6. Step 6: Final answer
    x = 1,929,302.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.