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Finding the Third Proportional to 409,104 and 892,584

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Solution

The third proportional to 409,104 and 892,584 is: 1,947,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,104 : 892,584 = 892,584 : x
  2. Step 2: Convert to fraction form
    409,104/892,584 = 892,584/x
  3. Step 3: Cross multiply
    409,104x = 892,584 × 892,584
  4. Step 4: Simplify right side
    409,104x = 796,706,197,056
  5. Step 5: Solve for x
    x = 796,706,197,056/409,104
  6. Step 6: Final answer
    x = 1,947,441.72

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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.