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Finding the Third Proportional to 891,024 and 1,380,924

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Solution

The third proportional to 891,024 and 1,380,924 is: 2,140,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,024 : 1,380,924 = 1,380,924 : x
  2. Step 2: Convert to fraction form
    891,024/1,380,924 = 1,380,924/x
  3. Step 3: Cross multiply
    891,024x = 1,380,924 × 1,380,924
  4. Step 4: Simplify right side
    891,024x = 1,906,951,093,776
  5. Step 5: Solve for x
    x = 1,906,951,093,776/891,024
  6. Step 6: Final answer
    x = 2,140,179.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.