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Finding the Third Proportional to 850,839 and 1,317,286.50

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Solution

The third proportional to 850,839 and 1,317,286.50 is: 2,039,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,839 : 1,317,286.50 = 1,317,286.50 : x
  2. Step 2: Convert to fraction form
    850,839/1,317,286.50 = 1,317,286.50/x
  3. Step 3: Cross multiply
    850,839x = 1,317,286.50 × 1,317,286.50
  4. Step 4: Simplify right side
    850,839x = 1,735,243,723,082.25
  5. Step 5: Solve for x
    x = 1,735,243,723,082.25/850,839
  6. Step 6: Final answer
    x = 2,039,450.15

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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.