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Finding the Third Proportional to 643,045 and 1,412,204

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Solution

The third proportional to 643,045 and 1,412,204 is: 3,101,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,045 : 1,412,204 = 1,412,204 : x
  2. Step 2: Convert to fraction form
    643,045/1,412,204 = 1,412,204/x
  3. Step 3: Cross multiply
    643,045x = 1,412,204 × 1,412,204
  4. Step 4: Simplify right side
    643,045x = 1,994,320,137,616
  5. Step 5: Solve for x
    x = 1,994,320,137,616/643,045
  6. Step 6: Final answer
    x = 3,101,369.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.