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Finding the Third Proportional to 2,199,726 and 3,220,836.75

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Solution

The third proportional to 2,199,726 and 3,220,836.75 is: 4,715,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199,726 : 3,220,836.75 = 3,220,836.75 : x
  2. Step 2: Convert to fraction form
    2,199,726/3,220,836.75 = 3,220,836.75/x
  3. Step 3: Cross multiply
    2,199,726x = 3,220,836.75 × 3,220,836.75
  4. Step 4: Simplify right side
    2,199,726x = 10,373,789,370,150.56
  5. Step 5: Solve for x
    x = 10,373,789,370,150.56/2,199,726
  6. Step 6: Final answer
    x = 4,715,946.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.