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Finding the Third Proportional to 471,999 and 1,022,702

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Solution

The third proportional to 471,999 and 1,022,702 is: 2,215,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,999 : 1,022,702 = 1,022,702 : x
  2. Step 2: Convert to fraction form
    471,999/1,022,702 = 1,022,702/x
  3. Step 3: Cross multiply
    471,999x = 1,022,702 × 1,022,702
  4. Step 4: Simplify right side
    471,999x = 1,045,919,380,804
  5. Step 5: Solve for x
    x = 1,045,919,380,804/471,999
  6. Step 6: Final answer
    x = 2,215,935.59

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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.