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Finding the Third Proportional to 274,171,852 and 593,485,976

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Solution

The third proportional to 274,171,852 and 593,485,976 is: 1,284,689,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,171,852 : 593,485,976 = 593,485,976 : x
  2. Step 2: Convert to fraction form
    274,171,852/593,485,976 = 593,485,976/x
  3. Step 3: Cross multiply
    274,171,852x = 593,485,976 × 593,485,976
  4. Step 4: Simplify right side
    274,171,852x = 352,225,603,708,672,576
  5. Step 5: Solve for x
    x = 352,225,603,708,672,576/274,171,852
  6. Step 6: Final answer
    x = 1,284,689,150.76

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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.