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Finding the Third Proportional to 2,912,078 and 4,408,851

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Solution

The third proportional to 2,912,078 and 4,408,851 is: 6,674,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,078 : 4,408,851 = 4,408,851 : x
  2. Step 2: Convert to fraction form
    2,912,078/4,408,851 = 4,408,851/x
  3. Step 3: Cross multiply
    2,912,078x = 4,408,851 × 4,408,851
  4. Step 4: Simplify right side
    2,912,078x = 19,437,967,140,201
  5. Step 5: Solve for x
    x = 19,437,967,140,201/2,912,078
  6. Step 6: Final answer
    x = 6,674,947.29

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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.