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Finding the Third Proportional to 603,324 and 1,191,420

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Solution

The third proportional to 603,324 and 1,191,420 is: 2,352,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,324 : 1,191,420 = 1,191,420 : x
  2. Step 2: Convert to fraction form
    603,324/1,191,420 = 1,191,420/x
  3. Step 3: Cross multiply
    603,324x = 1,191,420 × 1,191,420
  4. Step 4: Simplify right side
    603,324x = 1,419,481,616,400
  5. Step 5: Solve for x
    x = 1,419,481,616,400/603,324
  6. Step 6: Final answer
    x = 2,352,768.36

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Why These Related Problems?

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