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Finding the Third Proportional to 548,832 and 1,185,144

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Solution

The third proportional to 548,832 and 1,185,144 is: 2,559,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,832 : 1,185,144 = 1,185,144 : x
  2. Step 2: Convert to fraction form
    548,832/1,185,144 = 1,185,144/x
  3. Step 3: Cross multiply
    548,832x = 1,185,144 × 1,185,144
  4. Step 4: Simplify right side
    548,832x = 1,404,566,300,736
  5. Step 5: Solve for x
    x = 1,404,566,300,736/548,832
  6. Step 6: Final answer
    x = 2,559,191.70

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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.