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Finding the Third Proportional to 436,617 and 950,118

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Solution

The third proportional to 436,617 and 950,118 is: 2,067,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,617 : 950,118 = 950,118 : x
  2. Step 2: Convert to fraction form
    436,617/950,118 = 950,118/x
  3. Step 3: Cross multiply
    436,617x = 950,118 × 950,118
  4. Step 4: Simplify right side
    436,617x = 902,724,213,924
  5. Step 5: Solve for x
    x = 902,724,213,924/436,617
  6. Step 6: Final answer
    x = 2,067,542.52

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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.