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Finding the Third Proportional to 3,615,847 and 5,470,427

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Solution

The third proportional to 3,615,847 and 5,470,427 is: 8,276,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,847 : 5,470,427 = 5,470,427 : x
  2. Step 2: Convert to fraction form
    3,615,847/5,470,427 = 5,470,427/x
  3. Step 3: Cross multiply
    3,615,847x = 5,470,427 × 5,470,427
  4. Step 4: Simplify right side
    3,615,847x = 29,925,571,562,329
  5. Step 5: Solve for x
    x = 29,925,571,562,329/3,615,847
  6. Step 6: Final answer
    x = 8,276,227.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.