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Finding the Third Proportional to 950,157 and 2,049,781

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Solution

The third proportional to 950,157 and 2,049,781 is: 4,422,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,157 : 2,049,781 = 2,049,781 : x
  2. Step 2: Convert to fraction form
    950,157/2,049,781 = 2,049,781/x
  3. Step 3: Cross multiply
    950,157x = 2,049,781 × 2,049,781
  4. Step 4: Simplify right side
    950,157x = 4,201,602,147,961
  5. Step 5: Solve for x
    x = 4,201,602,147,961/950,157
  6. Step 6: Final answer
    x = 4,422,008.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.