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Finding the Third Proportional to 824,561.75 and 1,790,124.25

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Solution

The third proportional to 824,561.75 and 1,790,124.25 is: 3,886,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,561.75 : 1,790,124.25 = 1,790,124.25 : x
  2. Step 2: Convert to fraction form
    824,561.75/1,790,124.25 = 1,790,124.25/x
  3. Step 3: Cross multiply
    824,561.75x = 1,790,124.25 × 1,790,124.25
  4. Step 4: Simplify right side
    824,561.75x = 3,204,544,830,438.06
  5. Step 5: Solve for x
    x = 3,204,544,830,438.06/824,561.75
  6. Step 6: Final answer
    x = 3,886,361.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.