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Finding the Third Proportional to 2,170,757 and 3,191,097

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Solution

The third proportional to 2,170,757 and 3,191,097 is: 4,691,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,757 : 3,191,097 = 3,191,097 : x
  2. Step 2: Convert to fraction form
    2,170,757/3,191,097 = 3,191,097/x
  3. Step 3: Cross multiply
    2,170,757x = 3,191,097 × 3,191,097
  4. Step 4: Simplify right side
    2,170,757x = 10,183,100,063,409
  5. Step 5: Solve for x
    x = 10,183,100,063,409/2,170,757
  6. Step 6: Final answer
    x = 4,691,036.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.