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Finding the Third Proportional to 403,559 and 848,945

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Solution

The third proportional to 403,559 and 848,945 is: 1,785,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,559 : 848,945 = 848,945 : x
  2. Step 2: Convert to fraction form
    403,559/848,945 = 848,945/x
  3. Step 3: Cross multiply
    403,559x = 848,945 × 848,945
  4. Step 4: Simplify right side
    403,559x = 720,707,613,025
  5. Step 5: Solve for x
    x = 720,707,613,025/403,559
  6. Step 6: Final answer
    x = 1,785,879.17

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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.