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Finding the Third Proportional to 965,252.50 and 1,446,015.50

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Solution

The third proportional to 965,252.50 and 1,446,015.50 is: 2,166,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,252.50 : 1,446,015.50 = 1,446,015.50 : x
  2. Step 2: Convert to fraction form
    965,252.50/1,446,015.50 = 1,446,015.50/x
  3. Step 3: Cross multiply
    965,252.50x = 1,446,015.50 × 1,446,015.50
  4. Step 4: Simplify right side
    965,252.50x = 2,090,960,826,240.25
  5. Step 5: Solve for x
    x = 2,090,960,826,240.25/965,252.50
  6. Step 6: Final answer
    x = 2,166,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.