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Finding the Third Proportional to 476,968 and 1,036,766

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Solution

The third proportional to 476,968 and 1,036,766 is: 2,253,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,968 : 1,036,766 = 1,036,766 : x
  2. Step 2: Convert to fraction form
    476,968/1,036,766 = 1,036,766/x
  3. Step 3: Cross multiply
    476,968x = 1,036,766 × 1,036,766
  4. Step 4: Simplify right side
    476,968x = 1,074,883,738,756
  5. Step 5: Solve for x
    x = 1,074,883,738,756/476,968
  6. Step 6: Final answer
    x = 2,253,576.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.