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Finding the Third Proportional to 496,944.49 and 1,091,515.18

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Solution

The third proportional to 496,944.49 and 1,091,515.18 is: 2,397,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,944.49 : 1,091,515.18 = 1,091,515.18 : x
  2. Step 2: Convert to fraction form
    496,944.49/1,091,515.18 = 1,091,515.18/x
  3. Step 3: Cross multiply
    496,944.49x = 1,091,515.18 × 1,091,515.18
  4. Step 4: Simplify right side
    496,944.49x = 1,191,405,396,015.81
  5. Step 5: Solve for x
    x = 1,191,405,396,015.81/496,944.49
  6. Step 6: Final answer
    x = 2,397,461.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.