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Finding the Third Proportional to 947,619 and 2,052,702

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Solution

The third proportional to 947,619 and 2,052,702 is: 4,446,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,619 : 2,052,702 = 2,052,702 : x
  2. Step 2: Convert to fraction form
    947,619/2,052,702 = 2,052,702/x
  3. Step 3: Cross multiply
    947,619x = 2,052,702 × 2,052,702
  4. Step 4: Simplify right side
    947,619x = 4,213,585,500,804
  5. Step 5: Solve for x
    x = 4,213,585,500,804/947,619
  6. Step 6: Final answer
    x = 4,446,497.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.