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Finding the Third Proportional to 731,622 and 1,597,308

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Solution

The third proportional to 731,622 and 1,597,308 is: 3,487,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,622 : 1,597,308 = 1,597,308 : x
  2. Step 2: Convert to fraction form
    731,622/1,597,308 = 1,597,308/x
  3. Step 3: Cross multiply
    731,622x = 1,597,308 × 1,597,308
  4. Step 4: Simplify right side
    731,622x = 2,551,392,846,864
  5. Step 5: Solve for x
    x = 2,551,392,846,864/731,622
  6. Step 6: Final answer
    x = 3,487,310.18

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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.