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Finding the Third Proportional to 1,327,481 and 2,913,009

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Solution

The third proportional to 1,327,481 and 2,913,009 is: 6,392,273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,481 : 2,913,009 = 2,913,009 : x
  2. Step 2: Convert to fraction form
    1,327,481/2,913,009 = 2,913,009/x
  3. Step 3: Cross multiply
    1,327,481x = 2,913,009 × 2,913,009
  4. Step 4: Simplify right side
    1,327,481x = 8,485,621,434,081
  5. Step 5: Solve for x
    x = 8,485,621,434,081/1,327,481
  6. Step 6: Final answer
    x = 6,392,273.36

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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.