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Finding the Third Proportional to 1,232,568 and 2,649,096

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Solution

The third proportional to 1,232,568 and 2,649,096 is: 5,693,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,568 : 2,649,096 = 2,649,096 : x
  2. Step 2: Convert to fraction form
    1,232,568/2,649,096 = 2,649,096/x
  3. Step 3: Cross multiply
    1,232,568x = 2,649,096 × 2,649,096
  4. Step 4: Simplify right side
    1,232,568x = 7,017,709,617,216
  5. Step 5: Solve for x
    x = 7,017,709,617,216/1,232,568
  6. Step 6: Final answer
    x = 5,693,567.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.