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Finding the Third Proportional to 1,251,651 and 2,569,653

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Solution

The third proportional to 1,251,651 and 2,569,653 is: 5,275,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,651 : 2,569,653 = 2,569,653 : x
  2. Step 2: Convert to fraction form
    1,251,651/2,569,653 = 2,569,653/x
  3. Step 3: Cross multiply
    1,251,651x = 2,569,653 × 2,569,653
  4. Step 4: Simplify right side
    1,251,651x = 6,603,116,540,409
  5. Step 5: Solve for x
    x = 6,603,116,540,409/1,251,651
  6. Step 6: Final answer
    x = 5,275,525.32

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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.