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Finding the Third Proportional to 430,828 and 905,744

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Solution

The third proportional to 430,828 and 905,744 is: 1,904,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,828 : 905,744 = 905,744 : x
  2. Step 2: Convert to fraction form
    430,828/905,744 = 905,744/x
  3. Step 3: Cross multiply
    430,828x = 905,744 × 905,744
  4. Step 4: Simplify right side
    430,828x = 820,372,193,536
  5. Step 5: Solve for x
    x = 820,372,193,536/430,828
  6. Step 6: Final answer
    x = 1,904,175.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.