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Finding the Third Proportional to 693,614 and 1,490,692

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Solution

The third proportional to 693,614 and 1,490,692 is: 3,203,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,614 : 1,490,692 = 1,490,692 : x
  2. Step 2: Convert to fraction form
    693,614/1,490,692 = 1,490,692/x
  3. Step 3: Cross multiply
    693,614x = 1,490,692 × 1,490,692
  4. Step 4: Simplify right side
    693,614x = 2,222,162,638,864
  5. Step 5: Solve for x
    x = 2,222,162,638,864/693,614
  6. Step 6: Final answer
    x = 3,203,745.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.