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Finding the Third Proportional to 950,744 and 2,072,080

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Solution

The third proportional to 950,744 and 2,072,080 is: 4,515,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,744 : 2,072,080 = 2,072,080 : x
  2. Step 2: Convert to fraction form
    950,744/2,072,080 = 2,072,080/x
  3. Step 3: Cross multiply
    950,744x = 2,072,080 × 2,072,080
  4. Step 4: Simplify right side
    950,744x = 4,293,515,526,400
  5. Step 5: Solve for x
    x = 4,293,515,526,400/950,744
  6. Step 6: Final answer
    x = 4,515,953.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.