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Finding the Third Proportional to 471,650 and 1,017,996

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Solution

The third proportional to 471,650 and 1,017,996 is: 2,197,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,650 : 1,017,996 = 1,017,996 : x
  2. Step 2: Convert to fraction form
    471,650/1,017,996 = 1,017,996/x
  3. Step 3: Cross multiply
    471,650x = 1,017,996 × 1,017,996
  4. Step 4: Simplify right side
    471,650x = 1,036,315,856,016
  5. Step 5: Solve for x
    x = 1,036,315,856,016/471,650
  6. Step 6: Final answer
    x = 2,197,213.73

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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.