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Finding the Third Proportional to 408,036 and 883,832

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Solution

The third proportional to 408,036 and 883,832 is: 1,914,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,036 : 883,832 = 883,832 : x
  2. Step 2: Convert to fraction form
    408,036/883,832 = 883,832/x
  3. Step 3: Cross multiply
    408,036x = 883,832 × 883,832
  4. Step 4: Simplify right side
    408,036x = 781,159,004,224
  5. Step 5: Solve for x
    x = 781,159,004,224/408,036
  6. Step 6: Final answer
    x = 1,914,436.48

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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.