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Finding the Third Proportional to 494,241 and 1,084,710

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Solution

The third proportional to 494,241 and 1,084,710 is: 2,380,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,241 : 1,084,710 = 1,084,710 : x
  2. Step 2: Convert to fraction form
    494,241/1,084,710 = 1,084,710/x
  3. Step 3: Cross multiply
    494,241x = 1,084,710 × 1,084,710
  4. Step 4: Simplify right side
    494,241x = 1,176,595,784,100
  5. Step 5: Solve for x
    x = 1,176,595,784,100/494,241
  6. Step 6: Final answer
    x = 2,380,611.45

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