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Finding the Third Proportional to 477,400 and 1,040,012

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Solution

The third proportional to 477,400 and 1,040,012 is: 2,265,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,400 : 1,040,012 = 1,040,012 : x
  2. Step 2: Convert to fraction form
    477,400/1,040,012 = 1,040,012/x
  3. Step 3: Cross multiply
    477,400x = 1,040,012 × 1,040,012
  4. Step 4: Simplify right side
    477,400x = 1,081,624,960,144
  5. Step 5: Solve for x
    x = 1,081,624,960,144/477,400
  6. Step 6: Final answer
    x = 2,265,657.65

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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.