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Finding the Third Proportional to 494,231.63 and 1,027,829.25

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Solution

The third proportional to 494,231.63 and 1,027,829.25 is: 2,137,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,231.63 : 1,027,829.25 = 1,027,829.25 : x
  2. Step 2: Convert to fraction form
    494,231.63/1,027,829.25 = 1,027,829.25/x
  3. Step 3: Cross multiply
    494,231.63x = 1,027,829.25 × 1,027,829.25
  4. Step 4: Simplify right side
    494,231.63x = 1,056,432,967,155.56
  5. Step 5: Solve for x
    x = 1,056,432,967,155.56/494,231.63
  6. Step 6: Final answer
    x = 2,137,526.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.