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Finding the Third Proportional to 594,690 and 905,976

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Solution

The third proportional to 594,690 and 905,976 is: 1,380,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,690 : 905,976 = 905,976 : x
  2. Step 2: Convert to fraction form
    594,690/905,976 = 905,976/x
  3. Step 3: Cross multiply
    594,690x = 905,976 × 905,976
  4. Step 4: Simplify right side
    594,690x = 820,792,512,576
  5. Step 5: Solve for x
    x = 820,792,512,576/594,690
  6. Step 6: Final answer
    x = 1,380,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.