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Finding the Third Proportional to 541,738,439 and 825,282,540

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Solution

The third proportional to 541,738,439 and 825,282,540 is: 1,257,232,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738,439 : 825,282,540 = 825,282,540 : x
  2. Step 2: Convert to fraction form
    541,738,439/825,282,540 = 825,282,540/x
  3. Step 3: Cross multiply
    541,738,439x = 825,282,540 × 825,282,540
  4. Step 4: Simplify right side
    541,738,439x = 681,091,270,828,851,584
  5. Step 5: Solve for x
    x = 681,091,270,828,851,584/541,738,439
  6. Step 6: Final answer
    x = 1,257,232,682.41

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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.