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Finding the Third Proportional to 1,314,945 and 1,972,449

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Solution

The third proportional to 1,314,945 and 1,972,449 is: 2,958,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,945 : 1,972,449 = 1,972,449 : x
  2. Step 2: Convert to fraction form
    1,314,945/1,972,449 = 1,972,449/x
  3. Step 3: Cross multiply
    1,314,945x = 1,972,449 × 1,972,449
  4. Step 4: Simplify right side
    1,314,945x = 3,890,555,057,601
  5. Step 5: Solve for x
    x = 3,890,555,057,601/1,314,945
  6. Step 6: Final answer
    x = 2,958,720.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.