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Finding the Third Proportional to 424,299 and 923,321

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Solution

The third proportional to 424,299 and 923,321 is: 2,009,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,299 : 923,321 = 923,321 : x
  2. Step 2: Convert to fraction form
    424,299/923,321 = 923,321/x
  3. Step 3: Cross multiply
    424,299x = 923,321 × 923,321
  4. Step 4: Simplify right side
    424,299x = 852,521,669,041
  5. Step 5: Solve for x
    x = 852,521,669,041/424,299
  6. Step 6: Final answer
    x = 2,009,247.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.