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Finding the Third Proportional to 767,016 and 1,200,600

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Solution

The third proportional to 767,016 and 1,200,600 is: 1,879,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,016 : 1,200,600 = 1,200,600 : x
  2. Step 2: Convert to fraction form
    767,016/1,200,600 = 1,200,600/x
  3. Step 3: Cross multiply
    767,016x = 1,200,600 × 1,200,600
  4. Step 4: Simplify right side
    767,016x = 1,441,440,360,000
  5. Step 5: Solve for x
    x = 1,441,440,360,000/767,016
  6. Step 6: Final answer
    x = 1,879,283.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.