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Finding the Third Proportional to 593,147 and 1,399,609

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Solution

The third proportional to 593,147 and 1,399,609 is: 3,302,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,147 : 1,399,609 = 1,399,609 : x
  2. Step 2: Convert to fraction form
    593,147/1,399,609 = 1,399,609/x
  3. Step 3: Cross multiply
    593,147x = 1,399,609 × 1,399,609
  4. Step 4: Simplify right side
    593,147x = 1,958,905,352,881
  5. Step 5: Solve for x
    x = 1,958,905,352,881/593,147
  6. Step 6: Final answer
    x = 3,302,563.03

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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.