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Finding the Third Proportional to 517,451 and 1,131,089

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Solution

The third proportional to 517,451 and 1,131,089 is: 2,472,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,451 : 1,131,089 = 1,131,089 : x
  2. Step 2: Convert to fraction form
    517,451/1,131,089 = 1,131,089/x
  3. Step 3: Cross multiply
    517,451x = 1,131,089 × 1,131,089
  4. Step 4: Simplify right side
    517,451x = 1,279,362,325,921
  5. Step 5: Solve for x
    x = 1,279,362,325,921/517,451
  6. Step 6: Final answer
    x = 2,472,431.84

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Why These Related Problems?

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