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Finding the Third Proportional to 529,884 and 1,144,278

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Solution

The third proportional to 529,884 and 1,144,278 is: 2,471,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,884 : 1,144,278 = 1,144,278 : x
  2. Step 2: Convert to fraction form
    529,884/1,144,278 = 1,144,278/x
  3. Step 3: Cross multiply
    529,884x = 1,144,278 × 1,144,278
  4. Step 4: Simplify right side
    529,884x = 1,309,372,141,284
  5. Step 5: Solve for x
    x = 1,309,372,141,284/529,884
  6. Step 6: Final answer
    x = 2,471,054.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.