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Finding the Third Proportional to 1,914,219 and 4,205,799

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Solution

The third proportional to 1,914,219 and 4,205,799 is: 9,240,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,219 : 4,205,799 = 4,205,799 : x
  2. Step 2: Convert to fraction form
    1,914,219/4,205,799 = 4,205,799/x
  3. Step 3: Cross multiply
    1,914,219x = 4,205,799 × 4,205,799
  4. Step 4: Simplify right side
    1,914,219x = 17,688,745,228,401
  5. Step 5: Solve for x
    x = 17,688,745,228,401/1,914,219
  6. Step 6: Final answer
    x = 9,240,711.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.