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Finding the Third Proportional to 902,308 and 1,269,529

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Solution

The third proportional to 902,308 and 1,269,529 is: 1,786,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,308 : 1,269,529 = 1,269,529 : x
  2. Step 2: Convert to fraction form
    902,308/1,269,529 = 1,269,529/x
  3. Step 3: Cross multiply
    902,308x = 1,269,529 × 1,269,529
  4. Step 4: Simplify right side
    902,308x = 1,611,703,881,841
  5. Step 5: Solve for x
    x = 1,611,703,881,841/902,308
  6. Step 6: Final answer
    x = 1,786,201.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.