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Finding the Third Proportional to 1,519,040 and 3,278,256

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Solution

The third proportional to 1,519,040 and 3,278,256 is: 7,074,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,040 : 3,278,256 = 3,278,256 : x
  2. Step 2: Convert to fraction form
    1,519,040/3,278,256 = 3,278,256/x
  3. Step 3: Cross multiply
    1,519,040x = 3,278,256 × 3,278,256
  4. Step 4: Simplify right side
    1,519,040x = 10,746,962,401,536
  5. Step 5: Solve for x
    x = 10,746,962,401,536/1,519,040
  6. Step 6: Final answer
    x = 7,074,838.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.