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Finding the Third Proportional to 2,301,270 and 3,450,177

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Solution

The third proportional to 2,301,270 and 3,450,177 is: 5,172,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,270 : 3,450,177 = 3,450,177 : x
  2. Step 2: Convert to fraction form
    2,301,270/3,450,177 = 3,450,177/x
  3. Step 3: Cross multiply
    2,301,270x = 3,450,177 × 3,450,177
  4. Step 4: Simplify right side
    2,301,270x = 11,903,721,331,329
  5. Step 5: Solve for x
    x = 11,903,721,331,329/2,301,270
  6. Step 6: Final answer
    x = 5,172,674.80

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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.