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Finding the Third Proportional to 1,397,322 and 2,993,847

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Solution

The third proportional to 1,397,322 and 2,993,847 is: 6,414,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,322 : 2,993,847 = 2,993,847 : x
  2. Step 2: Convert to fraction form
    1,397,322/2,993,847 = 2,993,847/x
  3. Step 3: Cross multiply
    1,397,322x = 2,993,847 × 2,993,847
  4. Step 4: Simplify right side
    1,397,322x = 8,963,119,859,409
  5. Step 5: Solve for x
    x = 8,963,119,859,409/1,397,322
  6. Step 6: Final answer
    x = 6,414,498.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.