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Finding the Third Proportional to 411,812 and 888,584

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Solution

The third proportional to 411,812 and 888,584 is: 1,917,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,812 : 888,584 = 888,584 : x
  2. Step 2: Convert to fraction form
    411,812/888,584 = 888,584/x
  3. Step 3: Cross multiply
    411,812x = 888,584 × 888,584
  4. Step 4: Simplify right side
    411,812x = 789,581,525,056
  5. Step 5: Solve for x
    x = 789,581,525,056/411,812
  6. Step 6: Final answer
    x = 1,917,334.91

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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.