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Finding the Third Proportional to 377,666 and 821,736

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Solution

The third proportional to 377,666 and 821,736 is: 1,787,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,666 : 821,736 = 821,736 : x
  2. Step 2: Convert to fraction form
    377,666/821,736 = 821,736/x
  3. Step 3: Cross multiply
    377,666x = 821,736 × 821,736
  4. Step 4: Simplify right side
    377,666x = 675,250,053,696
  5. Step 5: Solve for x
    x = 675,250,053,696/377,666
  6. Step 6: Final answer
    x = 1,787,955.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.