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Finding the Third Proportional to 2,025,791 and 4,322,769

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Solution

The third proportional to 2,025,791 and 4,322,769 is: 9,224,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,791 : 4,322,769 = 4,322,769 : x
  2. Step 2: Convert to fraction form
    2,025,791/4,322,769 = 4,322,769/x
  3. Step 3: Cross multiply
    2,025,791x = 4,322,769 × 4,322,769
  4. Step 4: Simplify right side
    2,025,791x = 18,686,331,827,361
  5. Step 5: Solve for x
    x = 18,686,331,827,361/2,025,791
  6. Step 6: Final answer
    x = 9,224,215.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.