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Finding the Third Proportional to 404,007 and 849,891

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Solution

The third proportional to 404,007 and 849,891 is: 1,787,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,007 : 849,891 = 849,891 : x
  2. Step 2: Convert to fraction form
    404,007/849,891 = 849,891/x
  3. Step 3: Cross multiply
    404,007x = 849,891 × 849,891
  4. Step 4: Simplify right side
    404,007x = 722,314,711,881
  5. Step 5: Solve for x
    x = 722,314,711,881/404,007
  6. Step 6: Final answer
    x = 1,787,876.72

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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.