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Finding the Third Proportional to 775,474 and 1,137,650

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Solution

The third proportional to 775,474 and 1,137,650 is: 1,668,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,474 : 1,137,650 = 1,137,650 : x
  2. Step 2: Convert to fraction form
    775,474/1,137,650 = 1,137,650/x
  3. Step 3: Cross multiply
    775,474x = 1,137,650 × 1,137,650
  4. Step 4: Simplify right side
    775,474x = 1,294,247,522,500
  5. Step 5: Solve for x
    x = 1,294,247,522,500/775,474
  6. Step 6: Final answer
    x = 1,668,976.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.