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Finding the Third Proportional to 1,302,970 and 1,993,204

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Solution

The third proportional to 1,302,970 and 1,993,204 is: 3,049,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,970 : 1,993,204 = 1,993,204 : x
  2. Step 2: Convert to fraction form
    1,302,970/1,993,204 = 1,993,204/x
  3. Step 3: Cross multiply
    1,302,970x = 1,993,204 × 1,993,204
  4. Step 4: Simplify right side
    1,302,970x = 3,972,862,185,616
  5. Step 5: Solve for x
    x = 3,972,862,185,616/1,302,970
  6. Step 6: Final answer
    x = 3,049,081.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.