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Finding the Third Proportional to 535,896.70 and 1,149,500.39

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Solution

The third proportional to 535,896.70 and 1,149,500.39 is: 2,465,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,896.70 : 1,149,500.39 = 1,149,500.39 : x
  2. Step 2: Convert to fraction form
    535,896.70/1,149,500.39 = 1,149,500.39/x
  3. Step 3: Cross multiply
    535,896.70x = 1,149,500.39 × 1,149,500.39
  4. Step 4: Simplify right side
    535,896.70x = 1,321,351,148,047.03
  5. Step 5: Solve for x
    x = 1,321,351,148,047.03/535,896.70
  6. Step 6: Final answer
    x = 2,465,682.55

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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.