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Finding the Third Proportional to 2,027,106 and 4,407,042

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Solution

The third proportional to 2,027,106 and 4,407,042 is: 9,581,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,106 : 4,407,042 = 4,407,042 : x
  2. Step 2: Convert to fraction form
    2,027,106/4,407,042 = 4,407,042/x
  3. Step 3: Cross multiply
    2,027,106x = 4,407,042 × 4,407,042
  4. Step 4: Simplify right side
    2,027,106x = 19,422,019,189,764
  5. Step 5: Solve for x
    x = 19,422,019,189,764/2,027,106
  6. Step 6: Final answer
    x = 9,581,156.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.