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Finding the Third Proportional to 403,584 and 848,993

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Solution

The third proportional to 403,584 and 848,993 is: 1,785,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,584 : 848,993 = 848,993 : x
  2. Step 2: Convert to fraction form
    403,584/848,993 = 848,993/x
  3. Step 3: Cross multiply
    403,584x = 848,993 × 848,993
  4. Step 4: Simplify right side
    403,584x = 720,789,114,049
  5. Step 5: Solve for x
    x = 720,789,114,049/403,584
  6. Step 6: Final answer
    x = 1,785,970.49

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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.