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Finding the Third Proportional to 1,231,557 and 1,961,169

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Solution

The third proportional to 1,231,557 and 1,961,169 is: 3,123,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,557 : 1,961,169 = 1,961,169 : x
  2. Step 2: Convert to fraction form
    1,231,557/1,961,169 = 1,961,169/x
  3. Step 3: Cross multiply
    1,231,557x = 1,961,169 × 1,961,169
  4. Step 4: Simplify right side
    1,231,557x = 3,846,183,846,561
  5. Step 5: Solve for x
    x = 3,846,183,846,561/1,231,557
  6. Step 6: Final answer
    x = 3,123,025.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.