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Finding the Third Proportional to 492,609 and 1,066,183

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Solution

The third proportional to 492,609 and 1,066,183 is: 2,307,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,609 : 1,066,183 = 1,066,183 : x
  2. Step 2: Convert to fraction form
    492,609/1,066,183 = 1,066,183/x
  3. Step 3: Cross multiply
    492,609x = 1,066,183 × 1,066,183
  4. Step 4: Simplify right side
    492,609x = 1,136,746,189,489
  5. Step 5: Solve for x
    x = 1,136,746,189,489/492,609
  6. Step 6: Final answer
    x = 2,307,603.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.