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Finding the Third Proportional to 541,738,454 and 825,282,561

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Solution

The third proportional to 541,738,454 and 825,282,561 is: 1,257,232,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738,454 : 825,282,561 = 825,282,561 : x
  2. Step 2: Convert to fraction form
    541,738,454/825,282,561 = 825,282,561/x
  3. Step 3: Cross multiply
    541,738,454x = 825,282,561 × 825,282,561
  4. Step 4: Simplify right side
    541,738,454x = 681,091,305,490,718,720
  5. Step 5: Solve for x
    x = 681,091,305,490,718,720/541,738,454
  6. Step 6: Final answer
    x = 1,257,232,711.58

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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.