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Finding the Third Proportional to 593,588 and 1,399,814

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Solution

The third proportional to 593,588 and 1,399,814 is: 3,301,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,588 : 1,399,814 = 1,399,814 : x
  2. Step 2: Convert to fraction form
    593,588/1,399,814 = 1,399,814/x
  3. Step 3: Cross multiply
    593,588x = 1,399,814 × 1,399,814
  4. Step 4: Simplify right side
    593,588x = 1,959,479,234,596
  5. Step 5: Solve for x
    x = 1,959,479,234,596/593,588
  6. Step 6: Final answer
    x = 3,301,076.23

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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.