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Finding the Third Proportional to 593,734 and 1,208,204

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Solution

The third proportional to 593,734 and 1,208,204 is: 2,458,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,734 : 1,208,204 = 1,208,204 : x
  2. Step 2: Convert to fraction form
    593,734/1,208,204 = 1,208,204/x
  3. Step 3: Cross multiply
    593,734x = 1,208,204 × 1,208,204
  4. Step 4: Simplify right side
    593,734x = 1,459,756,905,616
  5. Step 5: Solve for x
    x = 1,459,756,905,616/593,734
  6. Step 6: Final answer
    x = 2,458,604.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.