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Finding the Third Proportional to 2,946,742 and 4,159,311

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Solution

The third proportional to 2,946,742 and 4,159,311 is: 5,870,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,742 : 4,159,311 = 4,159,311 : x
  2. Step 2: Convert to fraction form
    2,946,742/4,159,311 = 4,159,311/x
  3. Step 3: Cross multiply
    2,946,742x = 4,159,311 × 4,159,311
  4. Step 4: Simplify right side
    2,946,742x = 17,299,867,994,721
  5. Step 5: Solve for x
    x = 17,299,867,994,721/2,946,742
  6. Step 6: Final answer
    x = 5,870,845.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.