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Finding the Third Proportional to 2,027,088 and 4,407,003

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Solution

The third proportional to 2,027,088 and 4,407,003 is: 9,581,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,088 : 4,407,003 = 4,407,003 : x
  2. Step 2: Convert to fraction form
    2,027,088/4,407,003 = 4,407,003/x
  3. Step 3: Cross multiply
    2,027,088x = 4,407,003 × 4,407,003
  4. Step 4: Simplify right side
    2,027,088x = 19,421,675,442,009
  5. Step 5: Solve for x
    x = 19,421,675,442,009/2,027,088
  6. Step 6: Final answer
    x = 9,581,071.69

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Why These Related Problems?

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