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Finding the Third Proportional to 1,051,193 and 2,305,858

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Solution

The third proportional to 1,051,193 and 2,305,858 is: 5,058,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,193 : 2,305,858 = 2,305,858 : x
  2. Step 2: Convert to fraction form
    1,051,193/2,305,858 = 2,305,858/x
  3. Step 3: Cross multiply
    1,051,193x = 2,305,858 × 2,305,858
  4. Step 4: Simplify right side
    1,051,193x = 5,316,981,116,164
  5. Step 5: Solve for x
    x = 5,316,981,116,164/1,051,193
  6. Step 6: Final answer
    x = 5,058,044.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.