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Finding the Third Proportional to 481,408 and 1,043,168

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Solution

The third proportional to 481,408 and 1,043,168 is: 2,260,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,408 : 1,043,168 = 1,043,168 : x
  2. Step 2: Convert to fraction form
    481,408/1,043,168 = 1,043,168/x
  3. Step 3: Cross multiply
    481,408x = 1,043,168 × 1,043,168
  4. Step 4: Simplify right side
    481,408x = 1,088,199,476,224
  5. Step 5: Solve for x
    x = 1,088,199,476,224/481,408
  6. Step 6: Final answer
    x = 2,260,451.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.