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Finding the Third Proportional to 811,449 and 1,263,096

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Solution

The third proportional to 811,449 and 1,263,096 is: 1,966,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,449 : 1,263,096 = 1,263,096 : x
  2. Step 2: Convert to fraction form
    811,449/1,263,096 = 1,263,096/x
  3. Step 3: Cross multiply
    811,449x = 1,263,096 × 1,263,096
  4. Step 4: Simplify right side
    811,449x = 1,595,411,505,216
  5. Step 5: Solve for x
    x = 1,595,411,505,216/811,449
  6. Step 6: Final answer
    x = 1,966,126.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.