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Finding the Third Proportional to 950,841 and 2,242,297.50

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Solution

The third proportional to 950,841 and 2,242,297.50 is: 5,287,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,841 : 2,242,297.50 = 2,242,297.50 : x
  2. Step 2: Convert to fraction form
    950,841/2,242,297.50 = 2,242,297.50/x
  3. Step 3: Cross multiply
    950,841x = 2,242,297.50 × 2,242,297.50
  4. Step 4: Simplify right side
    950,841x = 5,027,898,078,506.25
  5. Step 5: Solve for x
    x = 5,027,898,078,506.25/950,841
  6. Step 6: Final answer
    x = 5,287,843.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.