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Finding the Third Proportional to 674,286 and 1,434,390

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Solution

The third proportional to 674,286 and 1,434,390 is: 3,051,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,286 : 1,434,390 = 1,434,390 : x
  2. Step 2: Convert to fraction form
    674,286/1,434,390 = 1,434,390/x
  3. Step 3: Cross multiply
    674,286x = 1,434,390 × 1,434,390
  4. Step 4: Simplify right side
    674,286x = 2,057,474,672,100
  5. Step 5: Solve for x
    x = 2,057,474,672,100/674,286
  6. Step 6: Final answer
    x = 3,051,338.26

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.