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Finding the Third Proportional to 906,288,601.50 and 1,399,468,158

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Solution

The third proportional to 906,288,601.50 and 1,399,468,158 is: 2,161,023,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,288,601.50 : 1,399,468,158 = 1,399,468,158 : x
  2. Step 2: Convert to fraction form
    906,288,601.50/1,399,468,158 = 1,399,468,158/x
  3. Step 3: Cross multiply
    906,288,601.50x = 1,399,468,158 × 1,399,468,158
  4. Step 4: Simplify right side
    906,288,601.50x = 1,958,511,125,255,912,960
  5. Step 5: Solve for x
    x = 1,958,511,125,255,912,960/906,288,601.50
  6. Step 6: Final answer
    x = 2,161,023,676.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.