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Finding the Third Proportional to 3,289,746 and 5,161,824

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Solution

The third proportional to 3,289,746 and 5,161,824 is: 8,099,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,746 : 5,161,824 = 5,161,824 : x
  2. Step 2: Convert to fraction form
    3,289,746/5,161,824 = 5,161,824/x
  3. Step 3: Cross multiply
    3,289,746x = 5,161,824 × 5,161,824
  4. Step 4: Simplify right side
    3,289,746x = 26,644,427,006,976
  5. Step 5: Solve for x
    x = 26,644,427,006,976/3,289,746
  6. Step 6: Final answer
    x = 8,099,235.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.