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Finding the Third Proportional to 965,251.69 and 1,446,014.53

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Solution

The third proportional to 965,251.69 and 1,446,014.53 is: 2,166,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,251.69 : 1,446,014.53 = 1,446,014.53 : x
  2. Step 2: Convert to fraction form
    965,251.69/1,446,014.53 = 1,446,014.53/x
  3. Step 3: Cross multiply
    965,251.69x = 1,446,014.53 × 1,446,014.53
  4. Step 4: Simplify right side
    965,251.69x = 2,090,958,024,586.16
  5. Step 5: Solve for x
    x = 2,090,958,024,586.16/965,251.69
  6. Step 6: Final answer
    x = 2,166,230.89

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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.