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Finding the Third Proportional to 593,205 and 1,399,722

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Solution

The third proportional to 593,205 and 1,399,722 is: 3,302,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,205 : 1,399,722 = 1,399,722 : x
  2. Step 2: Convert to fraction form
    593,205/1,399,722 = 1,399,722/x
  3. Step 3: Cross multiply
    593,205x = 1,399,722 × 1,399,722
  4. Step 4: Simplify right side
    593,205x = 1,959,221,677,284
  5. Step 5: Solve for x
    x = 1,959,221,677,284/593,205
  6. Step 6: Final answer
    x = 3,302,773.37

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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.