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Finding the Third Proportional to 465,954 and 1,019,142

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Solution

The third proportional to 465,954 and 1,019,142 is: 2,229,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,954 : 1,019,142 = 1,019,142 : x
  2. Step 2: Convert to fraction form
    465,954/1,019,142 = 1,019,142/x
  3. Step 3: Cross multiply
    465,954x = 1,019,142 × 1,019,142
  4. Step 4: Simplify right side
    465,954x = 1,038,650,416,164
  5. Step 5: Solve for x
    x = 1,038,650,416,164/465,954
  6. Step 6: Final answer
    x = 2,229,083.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.