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Finding the Third Proportional to 494,474.63 and 1,015,162.88

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Solution

The third proportional to 494,474.63 and 1,015,162.88 is: 2,084,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,474.63 : 1,015,162.88 = 1,015,162.88 : x
  2. Step 2: Convert to fraction form
    494,474.63/1,015,162.88 = 1,015,162.88/x
  3. Step 3: Cross multiply
    494,474.63x = 1,015,162.88 × 1,015,162.88
  4. Step 4: Simplify right side
    494,474.63x = 1,030,555,662,778.27
  5. Step 5: Solve for x
    x = 1,030,555,662,778.27/494,474.63
  6. Step 6: Final answer
    x = 2,084,142.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.