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Finding the Third Proportional to 2,603,814 and 3,942,441

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Solution

The third proportional to 2,603,814 and 3,942,441 is: 5,969,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,814 : 3,942,441 = 3,942,441 : x
  2. Step 2: Convert to fraction form
    2,603,814/3,942,441 = 3,942,441/x
  3. Step 3: Cross multiply
    2,603,814x = 3,942,441 × 3,942,441
  4. Step 4: Simplify right side
    2,603,814x = 15,542,841,038,481
  5. Step 5: Solve for x
    x = 15,542,841,038,481/2,603,814
  6. Step 6: Final answer
    x = 5,969,259.34

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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.