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Finding the Third Proportional to 520,426.75 and 1,109,561.75

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Solution

The third proportional to 520,426.75 and 1,109,561.75 is: 2,365,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,426.75 : 1,109,561.75 = 1,109,561.75 : x
  2. Step 2: Convert to fraction form
    520,426.75/1,109,561.75 = 1,109,561.75/x
  3. Step 3: Cross multiply
    520,426.75x = 1,109,561.75 × 1,109,561.75
  4. Step 4: Simplify right side
    520,426.75x = 1,231,127,277,063.06
  5. Step 5: Solve for x
    x = 1,231,127,277,063.06/520,426.75
  6. Step 6: Final answer
    x = 2,365,611.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.