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Finding the Third Proportional to 541,738,452 and 825,282,558

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Solution

The third proportional to 541,738,452 and 825,282,558 is: 1,257,232,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738,452 : 825,282,558 = 825,282,558 : x
  2. Step 2: Convert to fraction form
    541,738,452/825,282,558 = 825,282,558/x
  3. Step 3: Cross multiply
    541,738,452x = 825,282,558 × 825,282,558
  4. Step 4: Simplify right side
    541,738,452x = 681,091,300,539,023,360
  5. Step 5: Solve for x
    x = 681,091,300,539,023,360/541,738,452
  6. Step 6: Final answer
    x = 1,257,232,707.08

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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.