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Finding the Third Proportional to 427,530 and 923,586

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Solution

The third proportional to 427,530 and 923,586 is: 1,995,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,530 : 923,586 = 923,586 : x
  2. Step 2: Convert to fraction form
    427,530/923,586 = 923,586/x
  3. Step 3: Cross multiply
    427,530x = 923,586 × 923,586
  4. Step 4: Simplify right side
    427,530x = 853,011,099,396
  5. Step 5: Solve for x
    x = 853,011,099,396/427,530
  6. Step 6: Final answer
    x = 1,995,207.59

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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.