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Finding the Third Proportional to 377,674 and 821,082

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Solution

The third proportional to 377,674 and 821,082 is: 1,785,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,674 : 821,082 = 821,082 : x
  2. Step 2: Convert to fraction form
    377,674/821,082 = 821,082/x
  3. Step 3: Cross multiply
    377,674x = 821,082 × 821,082
  4. Step 4: Simplify right side
    377,674x = 674,175,650,724
  5. Step 5: Solve for x
    x = 674,175,650,724/377,674
  6. Step 6: Final answer
    x = 1,785,072.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.