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Finding the Third Proportional to 417,512 and 984,788

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Solution

The third proportional to 417,512 and 984,788 is: 2,322,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,512 : 984,788 = 984,788 : x
  2. Step 2: Convert to fraction form
    417,512/984,788 = 984,788/x
  3. Step 3: Cross multiply
    417,512x = 984,788 × 984,788
  4. Step 4: Simplify right side
    417,512x = 969,807,404,944
  5. Step 5: Solve for x
    x = 969,807,404,944/417,512
  6. Step 6: Final answer
    x = 2,322,825.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.