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Finding the Third Proportional to 2,100,208.50 and 3,169,554.75

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Solution

The third proportional to 2,100,208.50 and 3,169,554.75 is: 4,783,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,208.50 : 3,169,554.75 = 3,169,554.75 : x
  2. Step 2: Convert to fraction form
    2,100,208.50/3,169,554.75 = 3,169,554.75/x
  3. Step 3: Cross multiply
    2,100,208.50x = 3,169,554.75 × 3,169,554.75
  4. Step 4: Simplify right side
    2,100,208.50x = 10,046,077,313,247.56
  5. Step 5: Solve for x
    x = 10,046,077,313,247.56/2,100,208.50
  6. Step 6: Final answer
    x = 4,783,371.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.