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Finding the Third Proportional to 775,235,880 and 1,191,591,234

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Solution

The third proportional to 775,235,880 and 1,191,591,234 is: 1,831,558,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,235,880 : 1,191,591,234 = 1,191,591,234 : x
  2. Step 2: Convert to fraction form
    775,235,880/1,191,591,234 = 1,191,591,234/x
  3. Step 3: Cross multiply
    775,235,880x = 1,191,591,234 × 1,191,591,234
  4. Step 4: Simplify right side
    775,235,880x = 1,419,889,668,945,642,752
  5. Step 5: Solve for x
    x = 1,419,889,668,945,642,752/775,235,880
  6. Step 6: Final answer
    x = 1,831,558,246.43

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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.