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Finding the Third Proportional to 535,944.94 and 1,149,597.56

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Solution

The third proportional to 535,944.94 and 1,149,597.56 is: 2,465,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,944.94 : 1,149,597.56 = 1,149,597.56 : x
  2. Step 2: Convert to fraction form
    535,944.94/1,149,597.56 = 1,149,597.56/x
  3. Step 3: Cross multiply
    535,944.94x = 1,149,597.56 × 1,149,597.56
  4. Step 4: Simplify right side
    535,944.94x = 1,321,574,555,705.94
  5. Step 5: Solve for x
    x = 1,321,574,555,705.94/535,944.94
  6. Step 6: Final answer
    x = 2,465,877.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.