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Finding the Third Proportional to 524,451 and 1,149,990

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Solution

The third proportional to 524,451 and 1,149,990 is: 2,521,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,451 : 1,149,990 = 1,149,990 : x
  2. Step 2: Convert to fraction form
    524,451/1,149,990 = 1,149,990/x
  3. Step 3: Cross multiply
    524,451x = 1,149,990 × 1,149,990
  4. Step 4: Simplify right side
    524,451x = 1,322,477,000,100
  5. Step 5: Solve for x
    x = 1,322,477,000,100/524,451
  6. Step 6: Final answer
    x = 2,521,640.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.