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Finding the Third Proportional to 4,138,654 and 6,385,177

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Solution

The third proportional to 4,138,654 and 6,385,177 is: 9,851,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138,654 : 6,385,177 = 6,385,177 : x
  2. Step 2: Convert to fraction form
    4,138,654/6,385,177 = 6,385,177/x
  3. Step 3: Cross multiply
    4,138,654x = 6,385,177 × 6,385,177
  4. Step 4: Simplify right side
    4,138,654x = 40,770,485,321,329
  5. Step 5: Solve for x
    x = 40,770,485,321,329/4,138,654
  6. Step 6: Final answer
    x = 9,851,146.13

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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.