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Finding the Third Proportional to 1,233,225 and 2,689,969

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Solution

The third proportional to 1,233,225 and 2,689,969 is: 5,867,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,225 : 2,689,969 = 2,689,969 : x
  2. Step 2: Convert to fraction form
    1,233,225/2,689,969 = 2,689,969/x
  3. Step 3: Cross multiply
    1,233,225x = 2,689,969 × 2,689,969
  4. Step 4: Simplify right side
    1,233,225x = 7,235,933,220,961
  5. Step 5: Solve for x
    x = 7,235,933,220,961/1,233,225
  6. Step 6: Final answer
    x = 5,867,488.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.