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Finding the Third Proportional to 809,405 and 1,169,349

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Solution

The third proportional to 809,405 and 1,169,349 is: 1,689,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,405 : 1,169,349 = 1,169,349 : x
  2. Step 2: Convert to fraction form
    809,405/1,169,349 = 1,169,349/x
  3. Step 3: Cross multiply
    809,405x = 1,169,349 × 1,169,349
  4. Step 4: Simplify right side
    809,405x = 1,367,377,083,801
  5. Step 5: Solve for x
    x = 1,367,377,083,801/809,405
  6. Step 6: Final answer
    x = 1,689,360.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.