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Finding the Third Proportional to 1,469,151 and 3,071,142

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Solution

The third proportional to 1,469,151 and 3,071,142 is: 6,419,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,151 : 3,071,142 = 3,071,142 : x
  2. Step 2: Convert to fraction form
    1,469,151/3,071,142 = 3,071,142/x
  3. Step 3: Cross multiply
    1,469,151x = 3,071,142 × 3,071,142
  4. Step 4: Simplify right side
    1,469,151x = 9,431,913,184,164
  5. Step 5: Solve for x
    x = 9,431,913,184,164/1,469,151
  6. Step 6: Final answer
    x = 6,419,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.