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Finding the Third Proportional to 731,616 and 1,597,296

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Solution

The third proportional to 731,616 and 1,597,296 is: 3,487,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,616 : 1,597,296 = 1,597,296 : x
  2. Step 2: Convert to fraction form
    731,616/1,597,296 = 1,597,296/x
  3. Step 3: Cross multiply
    731,616x = 1,597,296 × 1,597,296
  4. Step 4: Simplify right side
    731,616x = 2,551,354,511,616
  5. Step 5: Solve for x
    x = 2,551,354,511,616/731,616
  6. Step 6: Final answer
    x = 3,487,286.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.