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Finding the Third Proportional to 419,012,462 and 987,728,976

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Solution

The third proportional to 419,012,462 and 987,728,976 is: 2,328,352,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,012,462 : 987,728,976 = 987,728,976 : x
  2. Step 2: Convert to fraction form
    419,012,462/987,728,976 = 987,728,976/x
  3. Step 3: Cross multiply
    419,012,462x = 987,728,976 × 987,728,976
  4. Step 4: Simplify right side
    419,012,462x = 975,608,530,030,008,576
  5. Step 5: Solve for x
    x = 975,608,530,030,008,576/419,012,462
  6. Step 6: Final answer
    x = 2,328,352,062.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.