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Finding the Third Proportional to 775,722 and 1,200,447

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Solution

The third proportional to 775,722 and 1,200,447 is: 1,857,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,722 : 1,200,447 = 1,200,447 : x
  2. Step 2: Convert to fraction form
    775,722/1,200,447 = 1,200,447/x
  3. Step 3: Cross multiply
    775,722x = 1,200,447 × 1,200,447
  4. Step 4: Simplify right side
    775,722x = 1,441,072,999,809
  5. Step 5: Solve for x
    x = 1,441,072,999,809/775,722
  6. Step 6: Final answer
    x = 1,857,718.36

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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.