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Finding the Third Proportional to 2,131,853.50 and 3,280,120

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Solution

The third proportional to 2,131,853.50 and 3,280,120 is: 5,046,869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,853.50 : 3,280,120 = 3,280,120 : x
  2. Step 2: Convert to fraction form
    2,131,853.50/3,280,120 = 3,280,120/x
  3. Step 3: Cross multiply
    2,131,853.50x = 3,280,120 × 3,280,120
  4. Step 4: Simplify right side
    2,131,853.50x = 10,759,187,214,400
  5. Step 5: Solve for x
    x = 10,759,187,214,400/2,131,853.50
  6. Step 6: Final answer
    x = 5,046,869.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.