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Finding the Third Proportional to 950,913 and 1,945,551

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Solution

The third proportional to 950,913 and 1,945,551 is: 3,980,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,913 : 1,945,551 = 1,945,551 : x
  2. Step 2: Convert to fraction form
    950,913/1,945,551 = 1,945,551/x
  3. Step 3: Cross multiply
    950,913x = 1,945,551 × 1,945,551
  4. Step 4: Simplify right side
    950,913x = 3,785,168,693,601
  5. Step 5: Solve for x
    x = 3,785,168,693,601/950,913
  6. Step 6: Final answer
    x = 3,980,562.57

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.