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Finding the Third Proportional to 451,838.25 and 978,063.75

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Solution

The third proportional to 451,838.25 and 978,063.75 is: 2,117,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,838.25 : 978,063.75 = 978,063.75 : x
  2. Step 2: Convert to fraction form
    451,838.25/978,063.75 = 978,063.75/x
  3. Step 3: Cross multiply
    451,838.25x = 978,063.75 × 978,063.75
  4. Step 4: Simplify right side
    451,838.25x = 956,608,699,064.06
  5. Step 5: Solve for x
    x = 956,608,699,064.06/451,838.25
  6. Step 6: Final answer
    x = 2,117,148.56

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Why These Related Problems?

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