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Finding the Third Proportional to 632,096 and 1,338,532

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Solution

The third proportional to 632,096 and 1,338,532 is: 2,834,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,096 : 1,338,532 = 1,338,532 : x
  2. Step 2: Convert to fraction form
    632,096/1,338,532 = 1,338,532/x
  3. Step 3: Cross multiply
    632,096x = 1,338,532 × 1,338,532
  4. Step 4: Simplify right side
    632,096x = 1,791,667,915,024
  5. Step 5: Solve for x
    x = 1,791,667,915,024/632,096
  6. Step 6: Final answer
    x = 2,834,487.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.