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Finding the Third Proportional to 404,826 and 888,382

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Solution

The third proportional to 404,826 and 888,382 is: 1,949,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,826 : 888,382 = 888,382 : x
  2. Step 2: Convert to fraction form
    404,826/888,382 = 888,382/x
  3. Step 3: Cross multiply
    404,826x = 888,382 × 888,382
  4. Step 4: Simplify right side
    404,826x = 789,222,577,924
  5. Step 5: Solve for x
    x = 789,222,577,924/404,826
  6. Step 6: Final answer
    x = 1,949,535.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.