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Finding the Third Proportional to 408,098 and 883,956

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Solution

The third proportional to 408,098 and 883,956 is: 1,914,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,098 : 883,956 = 883,956 : x
  2. Step 2: Convert to fraction form
    408,098/883,956 = 883,956/x
  3. Step 3: Cross multiply
    408,098x = 883,956 × 883,956
  4. Step 4: Simplify right side
    408,098x = 781,378,209,936
  5. Step 5: Solve for x
    x = 781,378,209,936/408,098
  6. Step 6: Final answer
    x = 1,914,682.77

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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.