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Finding the Third Proportional to 1,471,112.25 and 3,174,456

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Solution

The third proportional to 1,471,112.25 and 3,174,456 is: 6,850,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,112.25 : 3,174,456 = 3,174,456 : x
  2. Step 2: Convert to fraction form
    1,471,112.25/3,174,456 = 3,174,456/x
  3. Step 3: Cross multiply
    1,471,112.25x = 3,174,456 × 3,174,456
  4. Step 4: Simplify right side
    1,471,112.25x = 10,077,170,895,936
  5. Step 5: Solve for x
    x = 10,077,170,895,936/1,471,112.25
  6. Step 6: Final answer
    x = 6,850,035.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.