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Finding the Third Proportional to 3,012,802 and 4,214,029

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Solution

The third proportional to 3,012,802 and 4,214,029 is: 5,894,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012,802 : 4,214,029 = 4,214,029 : x
  2. Step 2: Convert to fraction form
    3,012,802/4,214,029 = 4,214,029/x
  3. Step 3: Cross multiply
    3,012,802x = 4,214,029 × 4,214,029
  4. Step 4: Simplify right side
    3,012,802x = 17,758,040,412,841
  5. Step 5: Solve for x
    x = 17,758,040,412,841/3,012,802
  6. Step 6: Final answer
    x = 5,894,194.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.