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Finding the Third Proportional to 825,684.75 and 1,773,438.75

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Solution

The third proportional to 825,684.75 and 1,773,438.75 is: 3,809,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,684.75 : 1,773,438.75 = 1,773,438.75 : x
  2. Step 2: Convert to fraction form
    825,684.75/1,773,438.75 = 1,773,438.75/x
  3. Step 3: Cross multiply
    825,684.75x = 1,773,438.75 × 1,773,438.75
  4. Step 4: Simplify right side
    825,684.75x = 3,145,085,000,001.56
  5. Step 5: Solve for x
    x = 3,145,085,000,001.56/825,684.75
  6. Step 6: Final answer
    x = 3,809,062.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.