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Finding the Third Proportional to 494,322.75 and 1,083,219.75

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Solution

The third proportional to 494,322.75 and 1,083,219.75 is: 2,373,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,322.75 : 1,083,219.75 = 1,083,219.75 : x
  2. Step 2: Convert to fraction form
    494,322.75/1,083,219.75 = 1,083,219.75/x
  3. Step 3: Cross multiply
    494,322.75x = 1,083,219.75 × 1,083,219.75
  4. Step 4: Simplify right side
    494,322.75x = 1,173,365,026,790.06
  5. Step 5: Solve for x
    x = 1,173,365,026,790.06/494,322.75
  6. Step 6: Final answer
    x = 2,373,682.03

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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.