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Finding the Third Proportional to 812,258 and 1,760,110

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Solution

The third proportional to 812,258 and 1,760,110 is: 3,814,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,258 : 1,760,110 = 1,760,110 : x
  2. Step 2: Convert to fraction form
    812,258/1,760,110 = 1,760,110/x
  3. Step 3: Cross multiply
    812,258x = 1,760,110 × 1,760,110
  4. Step 4: Simplify right side
    812,258x = 3,097,987,212,100
  5. Step 5: Solve for x
    x = 3,097,987,212,100/812,258
  6. Step 6: Final answer
    x = 3,814,043.34

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