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Finding the Third Proportional to 2,214,715.50 and 3,420,063

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Solution

The third proportional to 2,214,715.50 and 3,420,063 is: 5,281,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,715.50 : 3,420,063 = 3,420,063 : x
  2. Step 2: Convert to fraction form
    2,214,715.50/3,420,063 = 3,420,063/x
  3. Step 3: Cross multiply
    2,214,715.50x = 3,420,063 × 3,420,063
  4. Step 4: Simplify right side
    2,214,715.50x = 11,696,830,923,969
  5. Step 5: Solve for x
    x = 11,696,830,923,969/2,214,715.50
  6. Step 6: Final answer
    x = 5,281,414.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.