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Finding the Third Proportional to 395,003 and 849,949

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Solution

The third proportional to 395,003 and 849,949 is: 1,828,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,003 : 849,949 = 849,949 : x
  2. Step 2: Convert to fraction form
    395,003/849,949 = 849,949/x
  3. Step 3: Cross multiply
    395,003x = 849,949 × 849,949
  4. Step 4: Simplify right side
    395,003x = 722,413,302,601
  5. Step 5: Solve for x
    x = 722,413,302,601/395,003
  6. Step 6: Final answer
    x = 1,828,880.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.