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Finding the Third Proportional to 949,674 and 1,934,512

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Solution

The third proportional to 949,674 and 1,934,512 is: 3,940,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,674 : 1,934,512 = 1,934,512 : x
  2. Step 2: Convert to fraction form
    949,674/1,934,512 = 1,934,512/x
  3. Step 3: Cross multiply
    949,674x = 1,934,512 × 1,934,512
  4. Step 4: Simplify right side
    949,674x = 3,742,336,678,144
  5. Step 5: Solve for x
    x = 3,742,336,678,144/949,674
  6. Step 6: Final answer
    x = 3,940,654.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.