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Finding the Third Proportional to 1,020,291.75 and 2,227,083.75

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Solution

The third proportional to 1,020,291.75 and 2,227,083.75 is: 4,861,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,291.75 : 2,227,083.75 = 2,227,083.75 : x
  2. Step 2: Convert to fraction form
    1,020,291.75/2,227,083.75 = 2,227,083.75/x
  3. Step 3: Cross multiply
    1,020,291.75x = 2,227,083.75 × 2,227,083.75
  4. Step 4: Simplify right side
    1,020,291.75x = 4,959,902,029,514.06
  5. Step 5: Solve for x
    x = 4,959,902,029,514.06/1,020,291.75
  6. Step 6: Final answer
    x = 4,861,258.59

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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.