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Finding the Third Proportional to 451,613.25 and 973,725.75

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Solution

The third proportional to 451,613.25 and 973,725.75 is: 2,099,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,613.25 : 973,725.75 = 973,725.75 : x
  2. Step 2: Convert to fraction form
    451,613.25/973,725.75 = 973,725.75/x
  3. Step 3: Cross multiply
    451,613.25x = 973,725.75 × 973,725.75
  4. Step 4: Simplify right side
    451,613.25x = 948,141,836,213.06
  5. Step 5: Solve for x
    x = 948,141,836,213.06/451,613.25
  6. Step 6: Final answer
    x = 2,099,455.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.