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Finding the Third Proportional to 770,450.25 and 1,197,638.25

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Solution

The third proportional to 770,450.25 and 1,197,638.25 is: 1,861,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,450.25 : 1,197,638.25 = 1,197,638.25 : x
  2. Step 2: Convert to fraction form
    770,450.25/1,197,638.25 = 1,197,638.25/x
  3. Step 3: Cross multiply
    770,450.25x = 1,197,638.25 × 1,197,638.25
  4. Step 4: Simplify right side
    770,450.25x = 1,434,337,377,863.06
  5. Step 5: Solve for x
    x = 1,434,337,377,863.06/770,450.25
  6. Step 6: Final answer
    x = 1,861,687.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.