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Finding the Third Proportional to 733,923 and 1,518,207

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Solution

The third proportional to 733,923 and 1,518,207 is: 3,140,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,923 : 1,518,207 = 1,518,207 : x
  2. Step 2: Convert to fraction form
    733,923/1,518,207 = 1,518,207/x
  3. Step 3: Cross multiply
    733,923x = 1,518,207 × 1,518,207
  4. Step 4: Simplify right side
    733,923x = 2,304,952,494,849
  5. Step 5: Solve for x
    x = 2,304,952,494,849/733,923
  6. Step 6: Final answer
    x = 3,140,591.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.