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Finding the Third Proportional to 2,078,434 and 4,466,288

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Solution

The third proportional to 2,078,434 and 4,466,288 is: 9,597,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,434 : 4,466,288 = 4,466,288 : x
  2. Step 2: Convert to fraction form
    2,078,434/4,466,288 = 4,466,288/x
  3. Step 3: Cross multiply
    2,078,434x = 4,466,288 × 4,466,288
  4. Step 4: Simplify right side
    2,078,434x = 19,947,728,498,944
  5. Step 5: Solve for x
    x = 19,947,728,498,944/2,078,434
  6. Step 6: Final answer
    x = 9,597,479.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.