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Finding the Third Proportional to 339,149,254 and 734,641,172

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Solution

The third proportional to 339,149,254 and 734,641,172 is: 1,591,327,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,149,254 : 734,641,172 = 734,641,172 : x
  2. Step 2: Convert to fraction form
    339,149,254/734,641,172 = 734,641,172/x
  3. Step 3: Cross multiply
    339,149,254x = 734,641,172 × 734,641,172
  4. Step 4: Simplify right side
    339,149,254x = 539,697,651,597,533,568
  5. Step 5: Solve for x
    x = 539,697,651,597,533,568/339,149,254
  6. Step 6: Final answer
    x = 1,591,327,845.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.