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Finding the Third Proportional to 1,476,144 and 3,233,952

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Solution

The third proportional to 1,476,144 and 3,233,952 is: 7,084,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,144 : 3,233,952 = 3,233,952 : x
  2. Step 2: Convert to fraction form
    1,476,144/3,233,952 = 3,233,952/x
  3. Step 3: Cross multiply
    1,476,144x = 3,233,952 × 3,233,952
  4. Step 4: Simplify right side
    1,476,144x = 10,458,445,538,304
  5. Step 5: Solve for x
    x = 10,458,445,538,304/1,476,144
  6. Step 6: Final answer
    x = 7,084,976.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.