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Finding the Third Proportional to 591,354 and 926,593

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Solution

The third proportional to 591,354 and 926,593 is: 1,451,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,354 : 926,593 = 926,593 : x
  2. Step 2: Convert to fraction form
    591,354/926,593 = 926,593/x
  3. Step 3: Cross multiply
    591,354x = 926,593 × 926,593
  4. Step 4: Simplify right side
    591,354x = 858,574,587,649
  5. Step 5: Solve for x
    x = 858,574,587,649/591,354
  6. Step 6: Final answer
    x = 1,451,879.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.