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Finding the Third Proportional to 404,009 and 849,895

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Solution

The third proportional to 404,009 and 849,895 is: 1,787,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,009 : 849,895 = 849,895 : x
  2. Step 2: Convert to fraction form
    404,009/849,895 = 849,895/x
  3. Step 3: Cross multiply
    404,009x = 849,895 × 849,895
  4. Step 4: Simplify right side
    404,009x = 722,321,511,025
  5. Step 5: Solve for x
    x = 722,321,511,025/404,009
  6. Step 6: Final answer
    x = 1,787,884.70

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