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Finding the Third Proportional to 494,185 and 1,082,924

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Solution

The third proportional to 494,185 and 1,082,924 is: 2,373,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,185 : 1,082,924 = 1,082,924 : x
  2. Step 2: Convert to fraction form
    494,185/1,082,924 = 1,082,924/x
  3. Step 3: Cross multiply
    494,185x = 1,082,924 × 1,082,924
  4. Step 4: Simplify right side
    494,185x = 1,172,724,389,776
  5. Step 5: Solve for x
    x = 1,172,724,389,776/494,185
  6. Step 6: Final answer
    x = 2,373,047.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.