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Finding the Third Proportional to 454,394.75 and 955,796.38

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Solution

The third proportional to 454,394.75 and 955,796.38 is: 2,010,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,394.75 : 955,796.38 = 955,796.38 : x
  2. Step 2: Convert to fraction form
    454,394.75/955,796.38 = 955,796.38/x
  3. Step 3: Cross multiply
    454,394.75x = 955,796.38 × 955,796.38
  4. Step 4: Simplify right side
    454,394.75x = 913,546,710,463.14
  5. Step 5: Solve for x
    x = 913,546,710,463.14/454,394.75
  6. Step 6: Final answer
    x = 2,010,469.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.