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Finding the Third Proportional to 1,407,231 and 2,744,469

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Solution

The third proportional to 1,407,231 and 2,744,469 is: 5,352,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,231 : 2,744,469 = 2,744,469 : x
  2. Step 2: Convert to fraction form
    1,407,231/2,744,469 = 2,744,469/x
  3. Step 3: Cross multiply
    1,407,231x = 2,744,469 × 2,744,469
  4. Step 4: Simplify right side
    1,407,231x = 7,532,110,091,961
  5. Step 5: Solve for x
    x = 7,532,110,091,961/1,407,231
  6. Step 6: Final answer
    x = 5,352,433.32

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.