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Finding the Third Proportional to 476,936 and 1,010,734

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Solution

The third proportional to 476,936 and 1,010,734 is: 2,141,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,936 : 1,010,734 = 1,010,734 : x
  2. Step 2: Convert to fraction form
    476,936/1,010,734 = 1,010,734/x
  3. Step 3: Cross multiply
    476,936x = 1,010,734 × 1,010,734
  4. Step 4: Simplify right side
    476,936x = 1,021,583,218,756
  5. Step 5: Solve for x
    x = 1,021,583,218,756/476,936
  6. Step 6: Final answer
    x = 2,141,971.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.