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Finding the Third Proportional to 424,825 and 923,607

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Solution

The third proportional to 424,825 and 923,607 is: 2,008,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,825 : 923,607 = 923,607 : x
  2. Step 2: Convert to fraction form
    424,825/923,607 = 923,607/x
  3. Step 3: Cross multiply
    424,825x = 923,607 × 923,607
  4. Step 4: Simplify right side
    424,825x = 853,049,890,449
  5. Step 5: Solve for x
    x = 853,049,890,449/424,825
  6. Step 6: Final answer
    x = 2,008,003.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.