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Finding the Third Proportional to 4,138,650 and 6,385,171

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Solution

The third proportional to 4,138,650 and 6,385,171 is: 9,851,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,650 : 6,385,171 = 6,385,171 : x
  2. Step 2: Convert to fraction form
    4,138,650/6,385,171 = 6,385,171/x
  3. Step 3: Cross multiply
    4,138,650x = 6,385,171 × 6,385,171
  4. Step 4: Simplify right side
    4,138,650x = 40,770,408,699,241
  5. Step 5: Solve for x
    x = 40,770,408,699,241/4,138,650
  6. Step 6: Final answer
    x = 9,851,137.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.