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Finding the Third Proportional to 1,183,932 and 2,567,448

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Solution

The third proportional to 1,183,932 and 2,567,448 is: 5,567,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,932 : 2,567,448 = 2,567,448 : x
  2. Step 2: Convert to fraction form
    1,183,932/2,567,448 = 2,567,448/x
  3. Step 3: Cross multiply
    1,183,932x = 2,567,448 × 2,567,448
  4. Step 4: Simplify right side
    1,183,932x = 6,591,789,232,704
  5. Step 5: Solve for x
    x = 6,591,789,232,704/1,183,932
  6. Step 6: Final answer
    x = 5,567,709.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.