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Finding the Third Proportional to 886,560 and 2,137,408

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Solution

The third proportional to 886,560 and 2,137,408 is: 5,153,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,560 : 2,137,408 = 2,137,408 : x
  2. Step 2: Convert to fraction form
    886,560/2,137,408 = 2,137,408/x
  3. Step 3: Cross multiply
    886,560x = 2,137,408 × 2,137,408
  4. Step 4: Simplify right side
    886,560x = 4,568,512,958,464
  5. Step 5: Solve for x
    x = 4,568,512,958,464/886,560
  6. Step 6: Final answer
    x = 5,153,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.