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Finding the Third Proportional to 3,412,557 and 5,140,467

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Solution

The third proportional to 3,412,557 and 5,140,467 is: 7,743,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412,557 : 5,140,467 = 5,140,467 : x
  2. Step 2: Convert to fraction form
    3,412,557/5,140,467 = 5,140,467/x
  3. Step 3: Cross multiply
    3,412,557x = 5,140,467 × 5,140,467
  4. Step 4: Simplify right side
    3,412,557x = 26,424,400,978,089
  5. Step 5: Solve for x
    x = 26,424,400,978,089/3,412,557
  6. Step 6: Final answer
    x = 7,743,284.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.