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Finding the Third Proportional to 403,589 and 849,006

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Solution

The third proportional to 403,589 and 849,006 is: 1,786,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,589 : 849,006 = 849,006 : x
  2. Step 2: Convert to fraction form
    403,589/849,006 = 849,006/x
  3. Step 3: Cross multiply
    403,589x = 849,006 × 849,006
  4. Step 4: Simplify right side
    403,589x = 720,811,188,036
  5. Step 5: Solve for x
    x = 720,811,188,036/403,589
  6. Step 6: Final answer
    x = 1,786,003.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.