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Finding the Third Proportional to 1,290,823 and 2,805,529

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Solution

The third proportional to 1,290,823 and 2,805,529 is: 6,097,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,823 : 2,805,529 = 2,805,529 : x
  2. Step 2: Convert to fraction form
    1,290,823/2,805,529 = 2,805,529/x
  3. Step 3: Cross multiply
    1,290,823x = 2,805,529 × 2,805,529
  4. Step 4: Simplify right side
    1,290,823x = 7,870,992,969,841
  5. Step 5: Solve for x
    x = 7,870,992,969,841/1,290,823
  6. Step 6: Final answer
    x = 6,097,654.73

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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.