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Finding the Third Proportional to 521,667 and 1,142,964

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Solution

The third proportional to 521,667 and 1,142,964 is: 2,504,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,667 : 1,142,964 = 1,142,964 : x
  2. Step 2: Convert to fraction form
    521,667/1,142,964 = 1,142,964/x
  3. Step 3: Cross multiply
    521,667x = 1,142,964 × 1,142,964
  4. Step 4: Simplify right side
    521,667x = 1,306,366,705,296
  5. Step 5: Solve for x
    x = 1,306,366,705,296/521,667
  6. Step 6: Final answer
    x = 2,504,215.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.