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Finding the Third Proportional to 1,921,586 and 4,204,324

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Solution

The third proportional to 1,921,586 and 4,204,324 is: 9,198,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,586 : 4,204,324 = 4,204,324 : x
  2. Step 2: Convert to fraction form
    1,921,586/4,204,324 = 4,204,324/x
  3. Step 3: Cross multiply
    1,921,586x = 4,204,324 × 4,204,324
  4. Step 4: Simplify right side
    1,921,586x = 17,676,340,296,976
  5. Step 5: Solve for x
    x = 17,676,340,296,976/1,921,586
  6. Step 6: Final answer
    x = 9,198,828.62

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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.