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Finding the Third Proportional to 323,610,405 and 713,182,917

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Solution

The third proportional to 323,610,405 and 713,182,917 is: 1,571,735,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,610,405 : 713,182,917 = 713,182,917 : x
  2. Step 2: Convert to fraction form
    323,610,405/713,182,917 = 713,182,917/x
  3. Step 3: Cross multiply
    323,610,405x = 713,182,917 × 713,182,917
  4. Step 4: Simplify right side
    323,610,405x = 508,629,873,100,628,864
  5. Step 5: Solve for x
    x = 508,629,873,100,628,864/323,610,405
  6. Step 6: Final answer
    x = 1,571,735,226.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.