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Finding the Third Proportional to 1,427,952 and 2,974,256

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Solution

The third proportional to 1,427,952 and 2,974,256 is: 6,195,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,952 : 2,974,256 = 2,974,256 : x
  2. Step 2: Convert to fraction form
    1,427,952/2,974,256 = 2,974,256/x
  3. Step 3: Cross multiply
    1,427,952x = 2,974,256 × 2,974,256
  4. Step 4: Simplify right side
    1,427,952x = 8,846,198,753,536
  5. Step 5: Solve for x
    x = 8,846,198,753,536/1,427,952
  6. Step 6: Final answer
    x = 6,195,025.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.