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Finding the Third Proportional to 1,832,972 and 4,024,576

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Solution

The third proportional to 1,832,972 and 4,024,576 is: 8,836,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,972 : 4,024,576 = 4,024,576 : x
  2. Step 2: Convert to fraction form
    1,832,972/4,024,576 = 4,024,576/x
  3. Step 3: Cross multiply
    1,832,972x = 4,024,576 × 4,024,576
  4. Step 4: Simplify right side
    1,832,972x = 16,197,211,979,776
  5. Step 5: Solve for x
    x = 16,197,211,979,776/1,832,972
  6. Step 6: Final answer
    x = 8,836,584.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.