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Finding the Third Proportional to 671,960.25 and 1,040,441.63

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Solution

The third proportional to 671,960.25 and 1,040,441.63 is: 1,610,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,960.25 : 1,040,441.63 = 1,040,441.63 : x
  2. Step 2: Convert to fraction form
    671,960.25/1,040,441.63 = 1,040,441.63/x
  3. Step 3: Cross multiply
    671,960.25x = 1,040,441.63 × 1,040,441.63
  4. Step 4: Simplify right side
    671,960.25x = 1,082,518,775,032.64
  5. Step 5: Solve for x
    x = 1,082,518,775,032.64/671,960.25
  6. Step 6: Final answer
    x = 1,610,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.