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Finding the Third Proportional to 1,914,225 and 4,205,811

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Solution

The third proportional to 1,914,225 and 4,205,811 is: 9,240,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,225 : 4,205,811 = 4,205,811 : x
  2. Step 2: Convert to fraction form
    1,914,225/4,205,811 = 4,205,811/x
  3. Step 3: Cross multiply
    1,914,225x = 4,205,811 × 4,205,811
  4. Step 4: Simplify right side
    1,914,225x = 17,688,846,167,721
  5. Step 5: Solve for x
    x = 17,688,846,167,721/1,914,225
  6. Step 6: Final answer
    x = 9,240,735.11

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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.