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Finding the Third Proportional to 459,432,234 and 1,008,131,976

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Solution

The third proportional to 459,432,234 and 1,008,131,976 is: 2,212,143,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432,234 : 1,008,131,976 = 1,008,131,976 : x
  2. Step 2: Convert to fraction form
    459,432,234/1,008,131,976 = 1,008,131,976/x
  3. Step 3: Cross multiply
    459,432,234x = 1,008,131,976 × 1,008,131,976
  4. Step 4: Simplify right side
    459,432,234x = 1,016,330,081,033,664,512
  5. Step 5: Solve for x
    x = 1,016,330,081,033,664,512/459,432,234
  6. Step 6: Final answer
    x = 2,212,143,610.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.