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Finding the Third Proportional to 494,339 and 1,063,195

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Solution

The third proportional to 494,339 and 1,063,195 is: 2,286,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,339 : 1,063,195 = 1,063,195 : x
  2. Step 2: Convert to fraction form
    494,339/1,063,195 = 1,063,195/x
  3. Step 3: Cross multiply
    494,339x = 1,063,195 × 1,063,195
  4. Step 4: Simplify right side
    494,339x = 1,130,383,608,025
  5. Step 5: Solve for x
    x = 1,130,383,608,025/494,339
  6. Step 6: Final answer
    x = 2,286,656.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.