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Finding the Third Proportional to 421,138 and 921,007

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Solution

The third proportional to 421,138 and 921,007 is: 2,014,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138 : 921,007 = 921,007 : x
  2. Step 2: Convert to fraction form
    421,138/921,007 = 921,007/x
  3. Step 3: Cross multiply
    421,138x = 921,007 × 921,007
  4. Step 4: Simplify right side
    421,138x = 848,253,894,049
  5. Step 5: Solve for x
    x = 848,253,894,049/421,138
  6. Step 6: Final answer
    x = 2,014,194.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.