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Finding the Third Proportional to 494,861.50 and 1,103,447

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Solution

The third proportional to 494,861.50 and 1,103,447 is: 2,460,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,861.50 : 1,103,447 = 1,103,447 : x
  2. Step 2: Convert to fraction form
    494,861.50/1,103,447 = 1,103,447/x
  3. Step 3: Cross multiply
    494,861.50x = 1,103,447 × 1,103,447
  4. Step 4: Simplify right side
    494,861.50x = 1,217,595,281,809
  5. Step 5: Solve for x
    x = 1,217,595,281,809/494,861.50
  6. Step 6: Final answer
    x = 2,460,476.88

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.