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Finding the Third Proportional to 408,112 and 881,800

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Solution

The third proportional to 408,112 and 881,800 is: 1,905,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,112 : 881,800 = 881,800 : x
  2. Step 2: Convert to fraction form
    408,112/881,800 = 881,800/x
  3. Step 3: Cross multiply
    408,112x = 881,800 × 881,800
  4. Step 4: Simplify right side
    408,112x = 777,571,240,000
  5. Step 5: Solve for x
    x = 777,571,240,000/408,112
  6. Step 6: Final answer
    x = 1,905,288.84

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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.