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Finding the Third Proportional to 447,892.66 and 974,513.53

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Solution

The third proportional to 447,892.66 and 974,513.53 is: 2,120,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,892.66 : 974,513.53 = 974,513.53 : x
  2. Step 2: Convert to fraction form
    447,892.66/974,513.53 = 974,513.53/x
  3. Step 3: Cross multiply
    447,892.66x = 974,513.53 × 974,513.53
  4. Step 4: Simplify right side
    447,892.66x = 949,676,622,589.35
  5. Step 5: Solve for x
    x = 949,676,622,589.35/447,892.66
  6. Step 6: Final answer
    x = 2,120,321.90

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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.