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Finding the Third Proportional to 215,662 and 469,110

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Solution

The third proportional to 215,662 and 469,110 is: 1,020,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,662 : 469,110 = 469,110 : x
  2. Step 2: Convert to fraction form
    215,662/469,110 = 469,110/x
  3. Step 3: Cross multiply
    215,662x = 469,110 × 469,110
  4. Step 4: Simplify right side
    215,662x = 220,064,192,100
  5. Step 5: Solve for x
    x = 220,064,192,100/215,662
  6. Step 6: Final answer
    x = 1,020,412.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.