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Finding the Third Proportional to 582,876,832 and 1,262,608,924

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Solution

The third proportional to 582,876,832 and 1,262,608,924 is: 2,735,022,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,876,832 : 1,262,608,924 = 1,262,608,924 : x
  2. Step 2: Convert to fraction form
    582,876,832/1,262,608,924 = 1,262,608,924/x
  3. Step 3: Cross multiply
    582,876,832x = 1,262,608,924 × 1,262,608,924
  4. Step 4: Simplify right side
    582,876,832x = 1,594,181,294,964,437,760
  5. Step 5: Solve for x
    x = 1,594,181,294,964,437,760/582,876,832
  6. Step 6: Final answer
    x = 2,735,022,576.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.