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Finding the Third Proportional to 2,833,512 and 4,258,571

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Solution

The third proportional to 2,833,512 and 4,258,571 is: 6,400,335.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,512 : 4,258,571 = 4,258,571 : x
  2. Step 2: Convert to fraction form
    2,833,512/4,258,571 = 4,258,571/x
  3. Step 3: Cross multiply
    2,833,512x = 4,258,571 × 4,258,571
  4. Step 4: Simplify right side
    2,833,512x = 18,135,426,962,041
  5. Step 5: Solve for x
    x = 18,135,426,962,041/2,833,512
  6. Step 6: Final answer
    x = 6,400,335.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.