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Finding the Third Proportional to 1,313,678 and 2,823,812

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Solution

The third proportional to 1,313,678 and 2,823,812 is: 6,069,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,678 : 2,823,812 = 2,823,812 : x
  2. Step 2: Convert to fraction form
    1,313,678/2,823,812 = 2,823,812/x
  3. Step 3: Cross multiply
    1,313,678x = 2,823,812 × 2,823,812
  4. Step 4: Simplify right side
    1,313,678x = 7,973,914,211,344
  5. Step 5: Solve for x
    x = 7,973,914,211,344/1,313,678
  6. Step 6: Final answer
    x = 6,069,915.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.