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Finding the Third Proportional to 1,081,696 and 2,308,174

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Solution

The third proportional to 1,081,696 and 2,308,174 is: 4,925,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,696 : 2,308,174 = 2,308,174 : x
  2. Step 2: Convert to fraction form
    1,081,696/2,308,174 = 2,308,174/x
  3. Step 3: Cross multiply
    1,081,696x = 2,308,174 × 2,308,174
  4. Step 4: Simplify right side
    1,081,696x = 5,327,667,214,276
  5. Step 5: Solve for x
    x = 5,327,667,214,276/1,081,696
  6. Step 6: Final answer
    x = 4,925,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.