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Finding the Third Proportional to 2,146,299 and 4,548,477

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Solution

The third proportional to 2,146,299 and 4,548,477 is: 9,639,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,299 : 4,548,477 = 4,548,477 : x
  2. Step 2: Convert to fraction form
    2,146,299/4,548,477 = 4,548,477/x
  3. Step 3: Cross multiply
    2,146,299x = 4,548,477 × 4,548,477
  4. Step 4: Simplify right side
    2,146,299x = 20,688,643,019,529
  5. Step 5: Solve for x
    x = 20,688,643,019,529/2,146,299
  6. Step 6: Final answer
    x = 9,639,217.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.