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Finding the Third Proportional to 2,057,811 and 4,431,684

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Solution

The third proportional to 2,057,811 and 4,431,684 is: 9,544,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,811 : 4,431,684 = 4,431,684 : x
  2. Step 2: Convert to fraction form
    2,057,811/4,431,684 = 4,431,684/x
  3. Step 3: Cross multiply
    2,057,811x = 4,431,684 × 4,431,684
  4. Step 4: Simplify right side
    2,057,811x = 19,639,823,075,856
  5. Step 5: Solve for x
    x = 19,639,823,075,856/2,057,811
  6. Step 6: Final answer
    x = 9,544,036.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.