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Finding the Third Proportional to 2,884,195 and 4,524,283.50

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Solution

The third proportional to 2,884,195 and 4,524,283.50 is: 7,097,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,195 : 4,524,283.50 = 4,524,283.50 : x
  2. Step 2: Convert to fraction form
    2,884,195/4,524,283.50 = 4,524,283.50/x
  3. Step 3: Cross multiply
    2,884,195x = 4,524,283.50 × 4,524,283.50
  4. Step 4: Simplify right side
    2,884,195x = 20,469,141,188,372.25
  5. Step 5: Solve for x
    x = 20,469,141,188,372.25/2,884,195
  6. Step 6: Final answer
    x = 7,097,003.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.