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Finding the Third Proportional to 1,538,578.13 and 3,301,458.75

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Solution

The third proportional to 1,538,578.13 and 3,301,458.75 is: 7,084,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,578.13 : 3,301,458.75 = 3,301,458.75 : x
  2. Step 2: Convert to fraction form
    1,538,578.13/3,301,458.75 = 3,301,458.75/x
  3. Step 3: Cross multiply
    1,538,578.13x = 3,301,458.75 × 3,301,458.75
  4. Step 4: Simplify right side
    1,538,578.13x = 10,899,629,877,951.56
  5. Step 5: Solve for x
    x = 10,899,629,877,951.56/1,538,578.13
  6. Step 6: Final answer
    x = 7,084,222.57

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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.