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Finding the Third Proportional to 451,197 and 963,280.69

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Solution

The third proportional to 451,197 and 963,280.69 is: 2,056,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,197 : 963,280.69 = 963,280.69 : x
  2. Step 2: Convert to fraction form
    451,197/963,280.69 = 963,280.69/x
  3. Step 3: Cross multiply
    451,197x = 963,280.69 × 963,280.69
  4. Step 4: Simplify right side
    451,197x = 927,909,682,910.47
  5. Step 5: Solve for x
    x = 927,909,682,910.47/451,197
  6. Step 6: Final answer
    x = 2,056,551.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.