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Finding the Third Proportional to 897,832 and 1,970,144

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Solution

The third proportional to 897,832 and 1,970,144 is: 4,323,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,832 : 1,970,144 = 1,970,144 : x
  2. Step 2: Convert to fraction form
    897,832/1,970,144 = 1,970,144/x
  3. Step 3: Cross multiply
    897,832x = 1,970,144 × 1,970,144
  4. Step 4: Simplify right side
    897,832x = 3,881,467,380,736
  5. Step 5: Solve for x
    x = 3,881,467,380,736/897,832
  6. Step 6: Final answer
    x = 4,323,155.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.