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Finding the Third Proportional to 404,620 and 885,434

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Solution

The third proportional to 404,620 and 885,434 is: 1,937,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,620 : 885,434 = 885,434 : x
  2. Step 2: Convert to fraction form
    404,620/885,434 = 885,434/x
  3. Step 3: Cross multiply
    404,620x = 885,434 × 885,434
  4. Step 4: Simplify right side
    404,620x = 783,993,368,356
  5. Step 5: Solve for x
    x = 783,993,368,356/404,620
  6. Step 6: Final answer
    x = 1,937,604.09

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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.