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Finding the Third Proportional to 1,946,308.50 and 4,180,308.75

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Solution

The third proportional to 1,946,308.50 and 4,180,308.75 is: 8,978,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,308.50 : 4,180,308.75 = 4,180,308.75 : x
  2. Step 2: Convert to fraction form
    1,946,308.50/4,180,308.75 = 4,180,308.75/x
  3. Step 3: Cross multiply
    1,946,308.50x = 4,180,308.75 × 4,180,308.75
  4. Step 4: Simplify right side
    1,946,308.50x = 17,474,981,245,326.56
  5. Step 5: Solve for x
    x = 17,474,981,245,326.56/1,946,308.50
  6. Step 6: Final answer
    x = 8,978,525.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.