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Finding the Third Proportional to 259,865,121 and 577,831,980

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Solution

The third proportional to 259,865,121 and 577,831,980 is: 1,284,858,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,121 : 577,831,980 = 577,831,980 : x
  2. Step 2: Convert to fraction form
    259,865,121/577,831,980 = 577,831,980/x
  3. Step 3: Cross multiply
    259,865,121x = 577,831,980 × 577,831,980
  4. Step 4: Simplify right side
    259,865,121x = 333,889,797,110,720,384
  5. Step 5: Solve for x
    x = 333,889,797,110,720,384/259,865,121
  6. Step 6: Final answer
    x = 1,284,858,067.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.