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Finding the Third Proportional to 3,174,408 and 4,768,848

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Solution

The third proportional to 3,174,408 and 4,768,848 is: 7,164,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,408 : 4,768,848 = 4,768,848 : x
  2. Step 2: Convert to fraction form
    3,174,408/4,768,848 = 4,768,848/x
  3. Step 3: Cross multiply
    3,174,408x = 4,768,848 × 4,768,848
  4. Step 4: Simplify right side
    3,174,408x = 22,741,911,247,104
  5. Step 5: Solve for x
    x = 22,741,911,247,104/3,174,408
  6. Step 6: Final answer
    x = 7,164,142.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.