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Finding the Third Proportional to 451,051 and 981,505.50

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Solution

The third proportional to 451,051 and 981,505.50 is: 2,135,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,051 : 981,505.50 = 981,505.50 : x
  2. Step 2: Convert to fraction form
    451,051/981,505.50 = 981,505.50/x
  3. Step 3: Cross multiply
    451,051x = 981,505.50 × 981,505.50
  4. Step 4: Simplify right side
    451,051x = 963,353,046,530.25
  5. Step 5: Solve for x
    x = 963,353,046,530.25/451,051
  6. Step 6: Final answer
    x = 2,135,796.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.