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Finding the Third Proportional to 529,340 and 1,151,984

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Solution

The third proportional to 529,340 and 1,151,984 is: 2,507,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,340 : 1,151,984 = 1,151,984 : x
  2. Step 2: Convert to fraction form
    529,340/1,151,984 = 1,151,984/x
  3. Step 3: Cross multiply
    529,340x = 1,151,984 × 1,151,984
  4. Step 4: Simplify right side
    529,340x = 1,327,067,136,256
  5. Step 5: Solve for x
    x = 1,327,067,136,256/529,340
  6. Step 6: Final answer
    x = 2,507,022.21

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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.