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Finding the Third Proportional to 494,266 and 1,079,144

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Solution

The third proportional to 494,266 and 1,079,144 is: 2,356,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,266 : 1,079,144 = 1,079,144 : x
  2. Step 2: Convert to fraction form
    494,266/1,079,144 = 1,079,144/x
  3. Step 3: Cross multiply
    494,266x = 1,079,144 × 1,079,144
  4. Step 4: Simplify right side
    494,266x = 1,164,551,772,736
  5. Step 5: Solve for x
    x = 1,164,551,772,736/494,266
  6. Step 6: Final answer
    x = 2,356,123.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.