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Finding the Third Proportional to 603,314 and 1,191,400

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Solution

The third proportional to 603,314 and 1,191,400 is: 2,352,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,314 : 1,191,400 = 1,191,400 : x
  2. Step 2: Convert to fraction form
    603,314/1,191,400 = 1,191,400/x
  3. Step 3: Cross multiply
    603,314x = 1,191,400 × 1,191,400
  4. Step 4: Simplify right side
    603,314x = 1,419,433,960,000
  5. Step 5: Solve for x
    x = 1,419,433,960,000/603,314
  6. Step 6: Final answer
    x = 2,352,728.36

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.