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Finding the Third Proportional to 1,974,896 and 2,647,416

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Solution

The third proportional to 1,974,896 and 2,647,416 is: 3,548,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,896 : 2,647,416 = 2,647,416 : x
  2. Step 2: Convert to fraction form
    1,974,896/2,647,416 = 2,647,416/x
  3. Step 3: Cross multiply
    1,974,896x = 2,647,416 × 2,647,416
  4. Step 4: Simplify right side
    1,974,896x = 7,008,811,477,056
  5. Step 5: Solve for x
    x = 7,008,811,477,056/1,974,896
  6. Step 6: Final answer
    x = 3,548,952.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.