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Finding the Third Proportional to 960,106 and 2,074,244

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Solution

The third proportional to 960,106 and 2,074,244 is: 4,481,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,106 : 2,074,244 = 2,074,244 : x
  2. Step 2: Convert to fraction form
    960,106/2,074,244 = 2,074,244/x
  3. Step 3: Cross multiply
    960,106x = 2,074,244 × 2,074,244
  4. Step 4: Simplify right side
    960,106x = 4,302,488,171,536
  5. Step 5: Solve for x
    x = 4,302,488,171,536/960,106
  6. Step 6: Final answer
    x = 4,481,263.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.