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Finding the Third Proportional to 408,111 and 865,625

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Solution

The third proportional to 408,111 and 865,625 is: 1,836,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,111 : 865,625 = 865,625 : x
  2. Step 2: Convert to fraction form
    408,111/865,625 = 865,625/x
  3. Step 3: Cross multiply
    408,111x = 865,625 × 865,625
  4. Step 4: Simplify right side
    408,111x = 749,306,640,625
  5. Step 5: Solve for x
    x = 749,306,640,625/408,111
  6. Step 6: Final answer
    x = 1,836,036.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.