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Finding the Third Proportional to 1,965,296 and 4,166,792

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Solution

The third proportional to 1,965,296 and 4,166,792 is: 8,834,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,296 : 4,166,792 = 4,166,792 : x
  2. Step 2: Convert to fraction form
    1,965,296/4,166,792 = 4,166,792/x
  3. Step 3: Cross multiply
    1,965,296x = 4,166,792 × 4,166,792
  4. Step 4: Simplify right side
    1,965,296x = 17,362,155,571,264
  5. Step 5: Solve for x
    x = 17,362,155,571,264/1,965,296
  6. Step 6: Final answer
    x = 8,834,371.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.