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Finding the Third Proportional to 2,099,190 and 4,347,756

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Solution

The third proportional to 2,099,190 and 4,347,756 is: 9,004,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,190 : 4,347,756 = 4,347,756 : x
  2. Step 2: Convert to fraction form
    2,099,190/4,347,756 = 4,347,756/x
  3. Step 3: Cross multiply
    2,099,190x = 4,347,756 × 4,347,756
  4. Step 4: Simplify right side
    2,099,190x = 18,902,982,235,536
  5. Step 5: Solve for x
    x = 18,902,982,235,536/2,099,190
  6. Step 6: Final answer
    x = 9,004,893.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.