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Finding the Third Proportional to 604,863 and 1,320,408

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Solution

The third proportional to 604,863 and 1,320,408 is: 2,882,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,863 : 1,320,408 = 1,320,408 : x
  2. Step 2: Convert to fraction form
    604,863/1,320,408 = 1,320,408/x
  3. Step 3: Cross multiply
    604,863x = 1,320,408 × 1,320,408
  4. Step 4: Simplify right side
    604,863x = 1,743,477,286,464
  5. Step 5: Solve for x
    x = 1,743,477,286,464/604,863
  6. Step 6: Final answer
    x = 2,882,433.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.