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Finding the Third Proportional to 490,623 and 1,012,593

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Solution

The third proportional to 490,623 and 1,012,593 is: 2,089,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,623 : 1,012,593 = 1,012,593 : x
  2. Step 2: Convert to fraction form
    490,623/1,012,593 = 1,012,593/x
  3. Step 3: Cross multiply
    490,623x = 1,012,593 × 1,012,593
  4. Step 4: Simplify right side
    490,623x = 1,025,344,583,649
  5. Step 5: Solve for x
    x = 1,025,344,583,649/490,623
  6. Step 6: Final answer
    x = 2,089,882.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.