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Finding the Third Proportional to 493,144 and 1,061,200

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Solution

The third proportional to 493,144 and 1,061,200 is: 2,283,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,144 : 1,061,200 = 1,061,200 : x
  2. Step 2: Convert to fraction form
    493,144/1,061,200 = 1,061,200/x
  3. Step 3: Cross multiply
    493,144x = 1,061,200 × 1,061,200
  4. Step 4: Simplify right side
    493,144x = 1,126,145,440,000
  5. Step 5: Solve for x
    x = 1,126,145,440,000/493,144
  6. Step 6: Final answer
    x = 2,283,603.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.