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Finding the Third Proportional to 2,161,254 and 5,002,913

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Solution

The third proportional to 2,161,254 and 5,002,913 is: 11,580,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,254 : 5,002,913 = 5,002,913 : x
  2. Step 2: Convert to fraction form
    2,161,254/5,002,913 = 5,002,913/x
  3. Step 3: Cross multiply
    2,161,254x = 5,002,913 × 5,002,913
  4. Step 4: Simplify right side
    2,161,254x = 25,029,138,485,569
  5. Step 5: Solve for x
    x = 25,029,138,485,569/2,161,254
  6. Step 6: Final answer
    x = 11,580,840.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.