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Finding the Third Proportional to 947,622 and 2,052,707

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Solution

The third proportional to 947,622 and 2,052,707 is: 4,446,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,622 : 2,052,707 = 2,052,707 : x
  2. Step 2: Convert to fraction form
    947,622/2,052,707 = 2,052,707/x
  3. Step 3: Cross multiply
    947,622x = 2,052,707 × 2,052,707
  4. Step 4: Simplify right side
    947,622x = 4,213,606,027,849
  5. Step 5: Solve for x
    x = 4,213,606,027,849/947,622
  6. Step 6: Final answer
    x = 4,446,505.07

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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.