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Finding the Third Proportional to 1,028,460 and 2,214,971

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Solution

The third proportional to 1,028,460 and 2,214,971 is: 4,770,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,460 : 2,214,971 = 2,214,971 : x
  2. Step 2: Convert to fraction form
    1,028,460/2,214,971 = 2,214,971/x
  3. Step 3: Cross multiply
    1,028,460x = 2,214,971 × 2,214,971
  4. Step 4: Simplify right side
    1,028,460x = 4,906,096,530,841
  5. Step 5: Solve for x
    x = 4,906,096,530,841/1,028,460
  6. Step 6: Final answer
    x = 4,770,332.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.