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Finding the Third Proportional to 2,545,123 and 5,488,766

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Solution

The third proportional to 2,545,123 and 5,488,766 is: 11,836,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,123 : 5,488,766 = 5,488,766 : x
  2. Step 2: Convert to fraction form
    2,545,123/5,488,766 = 5,488,766/x
  3. Step 3: Cross multiply
    2,545,123x = 5,488,766 × 5,488,766
  4. Step 4: Simplify right side
    2,545,123x = 30,126,552,202,756
  5. Step 5: Solve for x
    x = 30,126,552,202,756/2,545,123
  6. Step 6: Final answer
    x = 11,836,972.99

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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.