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Finding the Third Proportional to 823,916 and 1,175,949

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Solution

The third proportional to 823,916 and 1,175,949 is: 1,678,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,916 : 1,175,949 = 1,175,949 : x
  2. Step 2: Convert to fraction form
    823,916/1,175,949 = 1,175,949/x
  3. Step 3: Cross multiply
    823,916x = 1,175,949 × 1,175,949
  4. Step 4: Simplify right side
    823,916x = 1,382,856,050,601
  5. Step 5: Solve for x
    x = 1,382,856,050,601/823,916
  6. Step 6: Final answer
    x = 1,678,394.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.