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Finding the Third Proportional to 383,622 and 896,019

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Solution

The third proportional to 383,622 and 896,019 is: 2,092,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,622 : 896,019 = 896,019 : x
  2. Step 2: Convert to fraction form
    383,622/896,019 = 896,019/x
  3. Step 3: Cross multiply
    383,622x = 896,019 × 896,019
  4. Step 4: Simplify right side
    383,622x = 802,850,048,361
  5. Step 5: Solve for x
    x = 802,850,048,361/383,622
  6. Step 6: Final answer
    x = 2,092,815.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.