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Finding the Third Proportional to 1,952,414 and 3,999,974

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Solution

The third proportional to 1,952,414 and 3,999,974 is: 8,194,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,414 : 3,999,974 = 3,999,974 : x
  2. Step 2: Convert to fraction form
    1,952,414/3,999,974 = 3,999,974/x
  3. Step 3: Cross multiply
    1,952,414x = 3,999,974 × 3,999,974
  4. Step 4: Simplify right side
    1,952,414x = 15,999,792,000,676
  5. Step 5: Solve for x
    x = 15,999,792,000,676/1,952,414
  6. Step 6: Final answer
    x = 8,194,876.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.