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Finding the Third Proportional to 568,305 and 1,215,408

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Solution

The third proportional to 568,305 and 1,215,408 is: 2,599,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,305 : 1,215,408 = 1,215,408 : x
  2. Step 2: Convert to fraction form
    568,305/1,215,408 = 1,215,408/x
  3. Step 3: Cross multiply
    568,305x = 1,215,408 × 1,215,408
  4. Step 4: Simplify right side
    568,305x = 1,477,216,606,464
  5. Step 5: Solve for x
    x = 1,477,216,606,464/568,305
  6. Step 6: Final answer
    x = 2,599,337.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.