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Finding the Third Proportional to 420,450.75 and 946,150.88

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Solution

The third proportional to 420,450.75 and 946,150.88 is: 2,129,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,450.75 : 946,150.88 = 946,150.88 : x
  2. Step 2: Convert to fraction form
    420,450.75/946,150.88 = 946,150.88/x
  3. Step 3: Cross multiply
    420,450.75x = 946,150.88 × 946,150.88
  4. Step 4: Simplify right side
    420,450.75x = 895,201,478,263.27
  5. Step 5: Solve for x
    x = 895,201,478,263.27/420,450.75
  6. Step 6: Final answer
    x = 2,129,147.06

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.