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Finding the Third Proportional to 897,662 and 1,947,916

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Solution

The third proportional to 897,662 and 1,947,916 is: 4,226,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,662 : 1,947,916 = 1,947,916 : x
  2. Step 2: Convert to fraction form
    897,662/1,947,916 = 1,947,916/x
  3. Step 3: Cross multiply
    897,662x = 1,947,916 × 1,947,916
  4. Step 4: Simplify right side
    897,662x = 3,794,376,743,056
  5. Step 5: Solve for x
    x = 3,794,376,743,056/897,662
  6. Step 6: Final answer
    x = 4,226,954.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.