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Finding the Third Proportional to 1,021,504 and 2,219,912

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Solution

The third proportional to 1,021,504 and 2,219,912 is: 4,824,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,504 : 2,219,912 = 2,219,912 : x
  2. Step 2: Convert to fraction form
    1,021,504/2,219,912 = 2,219,912/x
  3. Step 3: Cross multiply
    1,021,504x = 2,219,912 × 2,219,912
  4. Step 4: Simplify right side
    1,021,504x = 4,928,009,287,744
  5. Step 5: Solve for x
    x = 4,928,009,287,744/1,021,504
  6. Step 6: Final answer
    x = 4,824,268.22

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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.