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Finding the Third Proportional to 775,680 and 1,200,384

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Solution

The third proportional to 775,680 and 1,200,384 is: 1,857,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,680 : 1,200,384 = 1,200,384 : x
  2. Step 2: Convert to fraction form
    775,680/1,200,384 = 1,200,384/x
  3. Step 3: Cross multiply
    775,680x = 1,200,384 × 1,200,384
  4. Step 4: Simplify right side
    775,680x = 1,440,921,747,456
  5. Step 5: Solve for x
    x = 1,440,921,747,456/775,680
  6. Step 6: Final answer
    x = 1,857,623.95

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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.