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Finding the Third Proportional to 950,233.50 and 2,112,957

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Solution

The third proportional to 950,233.50 and 2,112,957 is: 4,698,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,233.50 : 2,112,957 = 2,112,957 : x
  2. Step 2: Convert to fraction form
    950,233.50/2,112,957 = 2,112,957/x
  3. Step 3: Cross multiply
    950,233.50x = 2,112,957 × 2,112,957
  4. Step 4: Simplify right side
    950,233.50x = 4,464,587,283,849
  5. Step 5: Solve for x
    x = 4,464,587,283,849/950,233.50
  6. Step 6: Final answer
    x = 4,698,410.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.