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Finding the Third Proportional to 775,684 and 1,200,390

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Solution

The third proportional to 775,684 and 1,200,390 is: 1,857,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,684 : 1,200,390 = 1,200,390 : x
  2. Step 2: Convert to fraction form
    775,684/1,200,390 = 1,200,390/x
  3. Step 3: Cross multiply
    775,684x = 1,200,390 × 1,200,390
  4. Step 4: Simplify right side
    775,684x = 1,440,936,152,100
  5. Step 5: Solve for x
    x = 1,440,936,152,100/775,684
  6. Step 6: Final answer
    x = 1,857,632.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.