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Finding the Third Proportional to 1,538,984.25 and 3,340,816.88

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Solution

The third proportional to 1,538,984.25 and 3,340,816.88 is: 7,252,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,984.25 : 3,340,816.88 = 3,340,816.88 : x
  2. Step 2: Convert to fraction form
    1,538,984.25/3,340,816.88 = 3,340,816.88/x
  3. Step 3: Cross multiply
    1,538,984.25x = 3,340,816.88 × 3,340,816.88
  4. Step 4: Simplify right side
    1,538,984.25x = 11,161,057,392,284.77
  5. Step 5: Solve for x
    x = 11,161,057,392,284.77/1,538,984.25
  6. Step 6: Final answer
    x = 7,252,223.27

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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.