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Finding the Third Proportional to 471,469.50 and 1,017,621

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Solution

The third proportional to 471,469.50 and 1,017,621 is: 2,196,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,469.50 : 1,017,621 = 1,017,621 : x
  2. Step 2: Convert to fraction form
    471,469.50/1,017,621 = 1,017,621/x
  3. Step 3: Cross multiply
    471,469.50x = 1,017,621 × 1,017,621
  4. Step 4: Simplify right side
    471,469.50x = 1,035,552,499,641
  5. Step 5: Solve for x
    x = 1,035,552,499,641/471,469.50
  6. Step 6: Final answer
    x = 2,196,435.82

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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.