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Finding the Third Proportional to 383,922 and 826,710.75

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Solution

The third proportional to 383,922 and 826,710.75 is: 1,780,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,922 : 826,710.75 = 826,710.75 : x
  2. Step 2: Convert to fraction form
    383,922/826,710.75 = 826,710.75/x
  3. Step 3: Cross multiply
    383,922x = 826,710.75 × 826,710.75
  4. Step 4: Simplify right side
    383,922x = 683,450,664,165.56
  5. Step 5: Solve for x
    x = 683,450,664,165.56/383,922
  6. Step 6: Final answer
    x = 1,780,181.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.