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Finding the Third Proportional to 1,624,516 and 3,520,220

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Solution

The third proportional to 1,624,516 and 3,520,220 is: 7,628,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624,516 : 3,520,220 = 3,520,220 : x
  2. Step 2: Convert to fraction form
    1,624,516/3,520,220 = 3,520,220/x
  3. Step 3: Cross multiply
    1,624,516x = 3,520,220 × 3,520,220
  4. Step 4: Simplify right side
    1,624,516x = 12,391,948,848,400
  5. Step 5: Solve for x
    x = 12,391,948,848,400/1,624,516
  6. Step 6: Final answer
    x = 7,628,086.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.