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Finding the Third Proportional to 560,400 and 1,203,744

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Solution

The third proportional to 560,400 and 1,203,744 is: 2,585,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,400 : 1,203,744 = 1,203,744 : x
  2. Step 2: Convert to fraction form
    560,400/1,203,744 = 1,203,744/x
  3. Step 3: Cross multiply
    560,400x = 1,203,744 × 1,203,744
  4. Step 4: Simplify right side
    560,400x = 1,448,999,617,536
  5. Step 5: Solve for x
    x = 1,448,999,617,536/560,400
  6. Step 6: Final answer
    x = 2,585,652.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.