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Finding the Third Proportional to 751,834 and 1,621,034

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Solution

The third proportional to 751,834 and 1,621,034 is: 3,495,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,834 : 1,621,034 = 1,621,034 : x
  2. Step 2: Convert to fraction form
    751,834/1,621,034 = 1,621,034/x
  3. Step 3: Cross multiply
    751,834x = 1,621,034 × 1,621,034
  4. Step 4: Simplify right side
    751,834x = 2,627,751,229,156
  5. Step 5: Solve for x
    x = 2,627,751,229,156/751,834
  6. Step 6: Final answer
    x = 3,495,121.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.