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Finding the Third Proportional to 449,705.11 and 917,474.84

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Solution

The third proportional to 449,705.11 and 917,474.84 is: 1,871,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,705.11 : 917,474.84 = 917,474.84 : x
  2. Step 2: Convert to fraction form
    449,705.11/917,474.84 = 917,474.84/x
  3. Step 3: Cross multiply
    449,705.11x = 917,474.84 × 917,474.84
  4. Step 4: Simplify right side
    449,705.11x = 841,760,074,578.54
  5. Step 5: Solve for x
    x = 841,760,074,578.54/449,705.11
  6. Step 6: Final answer
    x = 1,871,804.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.