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Finding the Third Proportional to 1,021,384.69 and 2,211,846.75

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Solution

The third proportional to 1,021,384.69 and 2,211,846.75 is: 4,789,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,384.69 : 2,211,846.75 = 2,211,846.75 : x
  2. Step 2: Convert to fraction form
    1,021,384.69/2,211,846.75 = 2,211,846.75/x
  3. Step 3: Cross multiply
    1,021,384.69x = 2,211,846.75 × 2,211,846.75
  4. Step 4: Simplify right side
    1,021,384.69x = 4,892,266,045,485.56
  5. Step 5: Solve for x
    x = 4,892,266,045,485.56/1,021,384.69
  6. Step 6: Final answer
    x = 4,789,836.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.