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Finding the Third Proportional to 2,153,686 and 3,378,969

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Solution

The third proportional to 2,153,686 and 3,378,969 is: 5,301,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,686 : 3,378,969 = 3,378,969 : x
  2. Step 2: Convert to fraction form
    2,153,686/3,378,969 = 3,378,969/x
  3. Step 3: Cross multiply
    2,153,686x = 3,378,969 × 3,378,969
  4. Step 4: Simplify right side
    2,153,686x = 11,417,431,502,961
  5. Step 5: Solve for x
    x = 11,417,431,502,961/2,153,686
  6. Step 6: Final answer
    x = 5,301,344.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.