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Finding the Third Proportional to 996,171.75 and 1,494,473.63

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Solution

The third proportional to 996,171.75 and 1,494,473.63 is: 2,242,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,171.75 : 1,494,473.63 = 1,494,473.63 : x
  2. Step 2: Convert to fraction form
    996,171.75/1,494,473.63 = 1,494,473.63/x
  3. Step 3: Cross multiply
    996,171.75x = 1,494,473.63 × 1,494,473.63
  4. Step 4: Simplify right side
    996,171.75x = 2,233,451,415,820.64
  5. Step 5: Solve for x
    x = 2,233,451,415,820.64/996,171.75
  6. Step 6: Final answer
    x = 2,242,034.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.