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Finding the Third Proportional to 869,619 and 1,300,431

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Solution

The third proportional to 869,619 and 1,300,431 is: 1,944,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,619 : 1,300,431 = 1,300,431 : x
  2. Step 2: Convert to fraction form
    869,619/1,300,431 = 1,300,431/x
  3. Step 3: Cross multiply
    869,619x = 1,300,431 × 1,300,431
  4. Step 4: Simplify right side
    869,619x = 1,691,120,785,761
  5. Step 5: Solve for x
    x = 1,691,120,785,761/869,619
  6. Step 6: Final answer
    x = 1,944,668.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.