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Finding the Third Proportional to 582,876,834 and 1,262,608,928

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Solution

The third proportional to 582,876,834 and 1,262,608,928 is: 2,735,022,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,876,834 : 1,262,608,928 = 1,262,608,928 : x
  2. Step 2: Convert to fraction form
    582,876,834/1,262,608,928 = 1,262,608,928/x
  3. Step 3: Cross multiply
    582,876,834x = 1,262,608,928 × 1,262,608,928
  4. Step 4: Simplify right side
    582,876,834x = 1,594,181,305,065,309,184
  5. Step 5: Solve for x
    x = 1,594,181,305,065,309,184/582,876,834
  6. Step 6: Final answer
    x = 2,735,022,584.66

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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.