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Finding the Third Proportional to 535,059 and 1,114,405

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Solution

The third proportional to 535,059 and 1,114,405 is: 2,321,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,059 : 1,114,405 = 1,114,405 : x
  2. Step 2: Convert to fraction form
    535,059/1,114,405 = 1,114,405/x
  3. Step 3: Cross multiply
    535,059x = 1,114,405 × 1,114,405
  4. Step 4: Simplify right side
    535,059x = 1,241,898,504,025
  5. Step 5: Solve for x
    x = 1,241,898,504,025/535,059
  6. Step 6: Final answer
    x = 2,321,049.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.