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Finding the Third Proportional to 1,949,491.97 and 4,347,230.34

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Solution

The third proportional to 1,949,491.97 and 4,347,230.34 is: 9,694,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,491.97 : 4,347,230.34 = 4,347,230.34 : x
  2. Step 2: Convert to fraction form
    1,949,491.97/4,347,230.34 = 4,347,230.34/x
  3. Step 3: Cross multiply
    1,949,491.97x = 4,347,230.34 × 4,347,230.34
  4. Step 4: Simplify right side
    1,949,491.97x = 18,898,411,661,620.74
  5. Step 5: Solve for x
    x = 18,898,411,661,620.74/1,949,491.97
  6. Step 6: Final answer
    x = 9,694,018.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.