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Finding the Third Proportional to 395,001 and 849,945

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Solution

The third proportional to 395,001 and 849,945 is: 1,828,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,001 : 849,945 = 849,945 : x
  2. Step 2: Convert to fraction form
    395,001/849,945 = 849,945/x
  3. Step 3: Cross multiply
    395,001x = 849,945 × 849,945
  4. Step 4: Simplify right side
    395,001x = 722,406,503,025
  5. Step 5: Solve for x
    x = 722,406,503,025/395,001
  6. Step 6: Final answer
    x = 1,828,872.59

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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.