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Finding the Third Proportional to 531,471 and 1,133,894.25

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Solution

The third proportional to 531,471 and 1,133,894.25 is: 2,419,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,471 : 1,133,894.25 = 1,133,894.25 : x
  2. Step 2: Convert to fraction form
    531,471/1,133,894.25 = 1,133,894.25/x
  3. Step 3: Cross multiply
    531,471x = 1,133,894.25 × 1,133,894.25
  4. Step 4: Simplify right side
    531,471x = 1,285,716,170,183.06
  5. Step 5: Solve for x
    x = 1,285,716,170,183.06/531,471
  6. Step 6: Final answer
    x = 2,419,165.24

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.