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Finding the Third Proportional to 593,139 and 1,399,512

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Solution

The third proportional to 593,139 and 1,399,512 is: 3,302,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,139 : 1,399,512 = 1,399,512 : x
  2. Step 2: Convert to fraction form
    593,139/1,399,512 = 1,399,512/x
  3. Step 3: Cross multiply
    593,139x = 1,399,512 × 1,399,512
  4. Step 4: Simplify right side
    593,139x = 1,958,633,838,144
  5. Step 5: Solve for x
    x = 1,958,633,838,144/593,139
  6. Step 6: Final answer
    x = 3,302,149.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.