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Finding the Third Proportional to 494,111 and 1,078,576

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Solution

The third proportional to 494,111 and 1,078,576 is: 2,354,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,111 : 1,078,576 = 1,078,576 : x
  2. Step 2: Convert to fraction form
    494,111/1,078,576 = 1,078,576/x
  3. Step 3: Cross multiply
    494,111x = 1,078,576 × 1,078,576
  4. Step 4: Simplify right side
    494,111x = 1,163,326,187,776
  5. Step 5: Solve for x
    x = 1,163,326,187,776/494,111
  6. Step 6: Final answer
    x = 2,354,382.29

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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.