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Finding the Third Proportional to 511,437,519 and 1,102,705,034

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Solution

The third proportional to 511,437,519 and 1,102,705,034 is: 2,377,530,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,437,519 : 1,102,705,034 = 1,102,705,034 : x
  2. Step 2: Convert to fraction form
    511,437,519/1,102,705,034 = 1,102,705,034/x
  3. Step 3: Cross multiply
    511,437,519x = 1,102,705,034 × 1,102,705,034
  4. Step 4: Simplify right side
    511,437,519x = 1,215,958,392,008,941,056
  5. Step 5: Solve for x
    x = 1,215,958,392,008,941,056/511,437,519
  6. Step 6: Final answer
    x = 2,377,530,679.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.