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Finding the Third Proportional to 1,026,891 and 2,289,896.25

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Solution

The third proportional to 1,026,891 and 2,289,896.25 is: 5,106,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,891 : 2,289,896.25 = 2,289,896.25 : x
  2. Step 2: Convert to fraction form
    1,026,891/2,289,896.25 = 2,289,896.25/x
  3. Step 3: Cross multiply
    1,026,891x = 2,289,896.25 × 2,289,896.25
  4. Step 4: Simplify right side
    1,026,891x = 5,243,624,835,764.06
  5. Step 5: Solve for x
    x = 5,243,624,835,764.06/1,026,891
  6. Step 6: Final answer
    x = 5,106,311.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.