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Finding the Third Proportional to 1,449,312 and 3,410,208

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Solution

The third proportional to 1,449,312 and 3,410,208 is: 8,024,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,312 : 3,410,208 = 3,410,208 : x
  2. Step 2: Convert to fraction form
    1,449,312/3,410,208 = 3,410,208/x
  3. Step 3: Cross multiply
    1,449,312x = 3,410,208 × 3,410,208
  4. Step 4: Simplify right side
    1,449,312x = 11,629,518,603,264
  5. Step 5: Solve for x
    x = 11,629,518,603,264/1,449,312
  6. Step 6: Final answer
    x = 8,024,164.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.