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Finding the Third Proportional to 1,476,049 and 2,410,255

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Solution

The third proportional to 1,476,049 and 2,410,255 is: 3,935,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,049 : 2,410,255 = 2,410,255 : x
  2. Step 2: Convert to fraction form
    1,476,049/2,410,255 = 2,410,255/x
  3. Step 3: Cross multiply
    1,476,049x = 2,410,255 × 2,410,255
  4. Step 4: Simplify right side
    1,476,049x = 5,809,329,165,025
  5. Step 5: Solve for x
    x = 5,809,329,165,025/1,476,049
  6. Step 6: Final answer
    x = 3,935,729.21

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.