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Finding the Third Proportional to 1,783,932 and 2,543,033

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Solution

The third proportional to 1,783,932 and 2,543,033 is: 3,625,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,932 : 2,543,033 = 2,543,033 : x
  2. Step 2: Convert to fraction form
    1,783,932/2,543,033 = 2,543,033/x
  3. Step 3: Cross multiply
    1,783,932x = 2,543,033 × 2,543,033
  4. Step 4: Simplify right side
    1,783,932x = 6,467,016,839,089
  5. Step 5: Solve for x
    x = 6,467,016,839,089/1,783,932
  6. Step 6: Final answer
    x = 3,625,147.62

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.