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Finding the Third Proportional to 541,523.25 and 1,159,899

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Solution

The third proportional to 541,523.25 and 1,159,899 is: 2,484,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,523.25 : 1,159,899 = 1,159,899 : x
  2. Step 2: Convert to fraction form
    541,523.25/1,159,899 = 1,159,899/x
  3. Step 3: Cross multiply
    541,523.25x = 1,159,899 × 1,159,899
  4. Step 4: Simplify right side
    541,523.25x = 1,345,365,690,201
  5. Step 5: Solve for x
    x = 1,345,365,690,201/541,523.25
  6. Step 6: Final answer
    x = 2,484,409.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.