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Finding the Third Proportional to 454,727.25 and 990,185.34

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Solution

The third proportional to 454,727.25 and 990,185.34 is: 2,156,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,727.25 : 990,185.34 = 990,185.34 : x
  2. Step 2: Convert to fraction form
    454,727.25/990,185.34 = 990,185.34/x
  3. Step 3: Cross multiply
    454,727.25x = 990,185.34 × 990,185.34
  4. Step 4: Simplify right side
    454,727.25x = 980,467,014,977.31
  5. Step 5: Solve for x
    x = 980,467,014,977.31/454,727.25
  6. Step 6: Final answer
    x = 2,156,165.07

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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.