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Finding the Third Proportional to 1,033,434 and 1,519,533

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Solution

The third proportional to 1,033,434 and 1,519,533 is: 2,234,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,434 : 1,519,533 = 1,519,533 : x
  2. Step 2: Convert to fraction form
    1,033,434/1,519,533 = 1,519,533/x
  3. Step 3: Cross multiply
    1,033,434x = 1,519,533 × 1,519,533
  4. Step 4: Simplify right side
    1,033,434x = 2,308,980,538,089
  5. Step 5: Solve for x
    x = 2,308,980,538,089/1,033,434
  6. Step 6: Final answer
    x = 2,234,279.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.