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Finding the Third Proportional to 548,164 and 1,320,588

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Solution

The third proportional to 548,164 and 1,320,588 is: 3,181,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,164 : 1,320,588 = 1,320,588 : x
  2. Step 2: Convert to fraction form
    548,164/1,320,588 = 1,320,588/x
  3. Step 3: Cross multiply
    548,164x = 1,320,588 × 1,320,588
  4. Step 4: Simplify right side
    548,164x = 1,743,952,665,744
  5. Step 5: Solve for x
    x = 1,743,952,665,744/548,164
  6. Step 6: Final answer
    x = 3,181,443.26

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.