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Finding the Third Proportional to 2,988,296 and 4,471,884

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Solution

The third proportional to 2,988,296 and 4,471,884 is: 6,692,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988,296 : 4,471,884 = 4,471,884 : x
  2. Step 2: Convert to fraction form
    2,988,296/4,471,884 = 4,471,884/x
  3. Step 3: Cross multiply
    2,988,296x = 4,471,884 × 4,471,884
  4. Step 4: Simplify right side
    2,988,296x = 19,997,746,509,456
  5. Step 5: Solve for x
    x = 19,997,746,509,456/2,988,296
  6. Step 6: Final answer
    x = 6,692,023.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.