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Finding the Third Proportional to 3,134,770 and 4,414,450

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Solution

The third proportional to 3,134,770 and 4,414,450 is: 6,216,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,770 : 4,414,450 = 4,414,450 : x
  2. Step 2: Convert to fraction form
    3,134,770/4,414,450 = 4,414,450/x
  3. Step 3: Cross multiply
    3,134,770x = 4,414,450 × 4,414,450
  4. Step 4: Simplify right side
    3,134,770x = 19,487,368,802,500
  5. Step 5: Solve for x
    x = 19,487,368,802,500/3,134,770
  6. Step 6: Final answer
    x = 6,216,522.68

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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.