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Finding the Third Proportional to 494,034 and 1,062,969

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Solution

The third proportional to 494,034 and 1,062,969 is: 2,287,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,034 : 1,062,969 = 1,062,969 : x
  2. Step 2: Convert to fraction form
    494,034/1,062,969 = 1,062,969/x
  3. Step 3: Cross multiply
    494,034x = 1,062,969 × 1,062,969
  4. Step 4: Simplify right side
    494,034x = 1,129,903,094,961
  5. Step 5: Solve for x
    x = 1,129,903,094,961/494,034
  6. Step 6: Final answer
    x = 2,287,095.82

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