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Finding the Third Proportional to 533,405 and 1,259,153

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Solution

The third proportional to 533,405 and 1,259,153 is: 2,972,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,405 : 1,259,153 = 1,259,153 : x
  2. Step 2: Convert to fraction form
    533,405/1,259,153 = 1,259,153/x
  3. Step 3: Cross multiply
    533,405x = 1,259,153 × 1,259,153
  4. Step 4: Simplify right side
    533,405x = 1,585,466,277,409
  5. Step 5: Solve for x
    x = 1,585,466,277,409/533,405
  6. Step 6: Final answer
    x = 2,972,349.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.