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Finding the Third Proportional to 844,676 and 1,821,382

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Solution

The third proportional to 844,676 and 1,821,382 is: 3,927,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,676 : 1,821,382 = 1,821,382 : x
  2. Step 2: Convert to fraction form
    844,676/1,821,382 = 1,821,382/x
  3. Step 3: Cross multiply
    844,676x = 1,821,382 × 1,821,382
  4. Step 4: Simplify right side
    844,676x = 3,317,432,389,924
  5. Step 5: Solve for x
    x = 3,317,432,389,924/844,676
  6. Step 6: Final answer
    x = 3,927,461.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.