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Finding the Third Proportional to 1,049,450 and 2,225,012

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Solution

The third proportional to 1,049,450 and 2,225,012 is: 4,717,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,450 : 2,225,012 = 2,225,012 : x
  2. Step 2: Convert to fraction form
    1,049,450/2,225,012 = 2,225,012/x
  3. Step 3: Cross multiply
    1,049,450x = 2,225,012 × 2,225,012
  4. Step 4: Simplify right side
    1,049,450x = 4,950,678,400,144
  5. Step 5: Solve for x
    x = 4,950,678,400,144/1,049,450
  6. Step 6: Final answer
    x = 4,717,402.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.