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Finding the Third Proportional to 407,967 and 888,517

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Solution

The third proportional to 407,967 and 888,517 is: 1,935,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,967 : 888,517 = 888,517 : x
  2. Step 2: Convert to fraction form
    407,967/888,517 = 888,517/x
  3. Step 3: Cross multiply
    407,967x = 888,517 × 888,517
  4. Step 4: Simplify right side
    407,967x = 789,462,459,289
  5. Step 5: Solve for x
    x = 789,462,459,289/407,967
  6. Step 6: Final answer
    x = 1,935,113.52

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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.