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Finding the Third Proportional to 808,211,183 and 1,182,083,677

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Solution

The third proportional to 808,211,183 and 1,182,083,677 is: 1,728,906,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,211,183 : 1,182,083,677 = 1,182,083,677 : x
  2. Step 2: Convert to fraction form
    808,211,183/1,182,083,677 = 1,182,083,677/x
  3. Step 3: Cross multiply
    808,211,183x = 1,182,083,677 × 1,182,083,677
  4. Step 4: Simplify right side
    808,211,183x = 1,397,321,819,429,840,384
  5. Step 5: Solve for x
    x = 1,397,321,819,429,840,384/808,211,183
  6. Step 6: Final answer
    x = 1,728,906,811.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.