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Finding the Third Proportional to 404,001 and 849,879

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Solution

The third proportional to 404,001 and 849,879 is: 1,787,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,001 : 849,879 = 849,879 : x
  2. Step 2: Convert to fraction form
    404,001/849,879 = 849,879/x
  3. Step 3: Cross multiply
    404,001x = 849,879 × 849,879
  4. Step 4: Simplify right side
    404,001x = 722,294,314,641
  5. Step 5: Solve for x
    x = 722,294,314,641/404,001
  6. Step 6: Final answer
    x = 1,787,852.79

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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.