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Finding the Third Proportional to 3,137,736 and 4,418,526

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Solution

The third proportional to 3,137,736 and 4,418,526 is: 6,222,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137,736 : 4,418,526 = 4,418,526 : x
  2. Step 2: Convert to fraction form
    3,137,736/4,418,526 = 4,418,526/x
  3. Step 3: Cross multiply
    3,137,736x = 4,418,526 × 4,418,526
  4. Step 4: Simplify right side
    3,137,736x = 19,523,372,012,676
  5. Step 5: Solve for x
    x = 19,523,372,012,676/3,137,736
  6. Step 6: Final answer
    x = 6,222,120.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.