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Finding the Third Proportional to 1,178,214 and 1,801,589

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Solution

The third proportional to 1,178,214 and 1,801,589 is: 2,754,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,214 : 1,801,589 = 1,801,589 : x
  2. Step 2: Convert to fraction form
    1,178,214/1,801,589 = 1,801,589/x
  3. Step 3: Cross multiply
    1,178,214x = 1,801,589 × 1,801,589
  4. Step 4: Simplify right side
    1,178,214x = 3,245,722,924,921
  5. Step 5: Solve for x
    x = 3,245,722,924,921/1,178,214
  6. Step 6: Final answer
    x = 2,754,782.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.