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Finding the Third Proportional to 438,081 and 950,896

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Solution

The third proportional to 438,081 and 950,896 is: 2,064,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,081 : 950,896 = 950,896 : x
  2. Step 2: Convert to fraction form
    438,081/950,896 = 950,896/x
  3. Step 3: Cross multiply
    438,081x = 950,896 × 950,896
  4. Step 4: Simplify right side
    438,081x = 904,203,202,816
  5. Step 5: Solve for x
    x = 904,203,202,816/438,081
  6. Step 6: Final answer
    x = 2,064,009.17

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Why These Related Problems?

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