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Finding the Third Proportional to 775,235,934 and 1,191,591,315

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Solution

The third proportional to 775,235,934 and 1,191,591,315 is: 1,831,558,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,934 : 1,191,591,315 = 1,191,591,315 : x
  2. Step 2: Convert to fraction form
    775,235,934/1,191,591,315 = 1,191,591,315/x
  3. Step 3: Cross multiply
    775,235,934x = 1,191,591,315 × 1,191,591,315
  4. Step 4: Simplify right side
    775,235,934x = 1,419,889,861,983,429,120
  5. Step 5: Solve for x
    x = 1,419,889,861,983,429,120/775,235,934
  6. Step 6: Final answer
    x = 1,831,558,367.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.