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Finding the Third Proportional to 471,960 and 1,019,052

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Solution

The third proportional to 471,960 and 1,019,052 is: 2,200,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,960 : 1,019,052 = 1,019,052 : x
  2. Step 2: Convert to fraction form
    471,960/1,019,052 = 1,019,052/x
  3. Step 3: Cross multiply
    471,960x = 1,019,052 × 1,019,052
  4. Step 4: Simplify right side
    471,960x = 1,038,466,978,704
  5. Step 5: Solve for x
    x = 1,038,466,978,704/471,960
  6. Step 6: Final answer
    x = 2,200,328.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.