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Finding the Third Proportional to 1,949,069 and 2,999,676

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Solution

The third proportional to 1,949,069 and 2,999,676 is: 4,616,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,069 : 2,999,676 = 2,999,676 : x
  2. Step 2: Convert to fraction form
    1,949,069/2,999,676 = 2,999,676/x
  3. Step 3: Cross multiply
    1,949,069x = 2,999,676 × 2,999,676
  4. Step 4: Simplify right side
    1,949,069x = 8,998,056,104,976
  5. Step 5: Solve for x
    x = 8,998,056,104,976/1,949,069
  6. Step 6: Final answer
    x = 4,616,591.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.