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Finding the Third Proportional to 427,610 and 923,684

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Solution

The third proportional to 427,610 and 923,684 is: 1,995,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,610 : 923,684 = 923,684 : x
  2. Step 2: Convert to fraction form
    427,610/923,684 = 923,684/x
  3. Step 3: Cross multiply
    427,610x = 923,684 × 923,684
  4. Step 4: Simplify right side
    427,610x = 853,192,131,856
  5. Step 5: Solve for x
    x = 853,192,131,856/427,610
  6. Step 6: Final answer
    x = 1,995,257.67

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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.