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Finding the Third Proportional to 383,724 and 822,744

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Solution

The third proportional to 383,724 and 822,744 is: 1,764,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,724 : 822,744 = 822,744 : x
  2. Step 2: Convert to fraction form
    383,724/822,744 = 822,744/x
  3. Step 3: Cross multiply
    383,724x = 822,744 × 822,744
  4. Step 4: Simplify right side
    383,724x = 676,907,689,536
  5. Step 5: Solve for x
    x = 676,907,689,536/383,724
  6. Step 6: Final answer
    x = 1,764,048.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.