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Finding the Third Proportional to 436,172 and 888,382

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Solution

The third proportional to 436,172 and 888,382 is: 1,809,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,172 : 888,382 = 888,382 : x
  2. Step 2: Convert to fraction form
    436,172/888,382 = 888,382/x
  3. Step 3: Cross multiply
    436,172x = 888,382 × 888,382
  4. Step 4: Simplify right side
    436,172x = 789,222,577,924
  5. Step 5: Solve for x
    x = 789,222,577,924/436,172
  6. Step 6: Final answer
    x = 1,809,429.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.