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Finding the Third Proportional to 775,720 and 1,200,444

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Solution

The third proportional to 775,720 and 1,200,444 is: 1,857,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,720 : 1,200,444 = 1,200,444 : x
  2. Step 2: Convert to fraction form
    775,720/1,200,444 = 1,200,444/x
  3. Step 3: Cross multiply
    775,720x = 1,200,444 × 1,200,444
  4. Step 4: Simplify right side
    775,720x = 1,441,065,797,136
  5. Step 5: Solve for x
    x = 1,441,065,797,136/775,720
  6. Step 6: Final answer
    x = 1,857,713.86

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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.