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Finding the Third Proportional to 580,542,204 and 1,253,437,368

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Solution

The third proportional to 580,542,204 and 1,253,437,368 is: 2,706,272,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,542,204 : 1,253,437,368 = 1,253,437,368 : x
  2. Step 2: Convert to fraction form
    580,542,204/1,253,437,368 = 1,253,437,368/x
  3. Step 3: Cross multiply
    580,542,204x = 1,253,437,368 × 1,253,437,368
  4. Step 4: Simplify right side
    580,542,204x = 1,571,105,235,498,767,360
  5. Step 5: Solve for x
    x = 1,571,105,235,498,767,360/580,542,204
  6. Step 6: Final answer
    x = 2,706,272,213.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.