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Finding the Third Proportional to 509,324,870 and 1,091,257,906

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Solution

The third proportional to 509,324,870 and 1,091,257,906 is: 2,338,082,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,324,870 : 1,091,257,906 = 1,091,257,906 : x
  2. Step 2: Convert to fraction form
    509,324,870/1,091,257,906 = 1,091,257,906/x
  3. Step 3: Cross multiply
    509,324,870x = 1,091,257,906 × 1,091,257,906
  4. Step 4: Simplify right side
    509,324,870x = 1,190,843,817,407,504,896
  5. Step 5: Solve for x
    x = 1,190,843,817,407,504,896/509,324,870
  6. Step 6: Final answer
    x = 2,338,082,994.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.