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Finding the Third Proportional to 541,536,774 and 825,002,505

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Solution

The third proportional to 541,536,774 and 825,002,505 is: 1,256,847,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,536,774 : 825,002,505 = 825,002,505 : x
  2. Step 2: Convert to fraction form
    541,536,774/825,002,505 = 825,002,505/x
  3. Step 3: Cross multiply
    541,536,774x = 825,002,505 × 825,002,505
  4. Step 4: Simplify right side
    541,536,774x = 680,629,133,256,275,072
  5. Step 5: Solve for x
    x = 680,629,133,256,275,072/541,536,774
  6. Step 6: Final answer
    x = 1,256,847,486.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.