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Finding the Third Proportional to 421,284.38 and 901,617.75

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Solution

The third proportional to 421,284.38 and 901,617.75 is: 1,929,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,284.38 : 901,617.75 = 901,617.75 : x
  2. Step 2: Convert to fraction form
    421,284.38/901,617.75 = 901,617.75/x
  3. Step 3: Cross multiply
    421,284.38x = 901,617.75 × 901,617.75
  4. Step 4: Simplify right side
    421,284.38x = 812,914,567,115.06
  5. Step 5: Solve for x
    x = 812,914,567,115.06/421,284.38
  6. Step 6: Final answer
    x = 1,929,610.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.