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Finding the Third Proportional to 667,536 and 1,390,296

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Solution

The third proportional to 667,536 and 1,390,296 is: 2,895,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,536 : 1,390,296 = 1,390,296 : x
  2. Step 2: Convert to fraction form
    667,536/1,390,296 = 1,390,296/x
  3. Step 3: Cross multiply
    667,536x = 1,390,296 × 1,390,296
  4. Step 4: Simplify right side
    667,536x = 1,932,922,967,616
  5. Step 5: Solve for x
    x = 1,932,922,967,616/667,536
  6. Step 6: Final answer
    x = 2,895,608.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.