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Finding the Third Proportional to 3,189,483 and 6,821,549

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Solution

The third proportional to 3,189,483 and 6,821,549 is: 14,589,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,483 : 6,821,549 = 6,821,549 : x
  2. Step 2: Convert to fraction form
    3,189,483/6,821,549 = 6,821,549/x
  3. Step 3: Cross multiply
    3,189,483x = 6,821,549 × 6,821,549
  4. Step 4: Simplify right side
    3,189,483x = 46,533,530,759,401
  5. Step 5: Solve for x
    x = 46,533,530,759,401/3,189,483
  6. Step 6: Final answer
    x = 14,589,678.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.