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Finding the Third Proportional to 2,085,828 and 3,224,502

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Solution

The third proportional to 2,085,828 and 3,224,502 is: 4,984,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,828 : 3,224,502 = 3,224,502 : x
  2. Step 2: Convert to fraction form
    2,085,828/3,224,502 = 3,224,502/x
  3. Step 3: Cross multiply
    2,085,828x = 3,224,502 × 3,224,502
  4. Step 4: Simplify right side
    2,085,828x = 10,397,413,148,004
  5. Step 5: Solve for x
    x = 10,397,413,148,004/2,085,828
  6. Step 6: Final answer
    x = 4,984,789.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.