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Finding the Third Proportional to 819,052,892 and 1,158,934,728

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Solution

The third proportional to 819,052,892 and 1,158,934,728 is: 1,639,857,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,052,892 : 1,158,934,728 = 1,158,934,728 : x
  2. Step 2: Convert to fraction form
    819,052,892/1,158,934,728 = 1,158,934,728/x
  3. Step 3: Cross multiply
    819,052,892x = 1,158,934,728 × 1,158,934,728
  4. Step 4: Simplify right side
    819,052,892x = 1,343,129,703,764,433,920
  5. Step 5: Solve for x
    x = 1,343,129,703,764,433,920/819,052,892
  6. Step 6: Final answer
    x = 1,639,857,104.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.