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Finding the Third Proportional to 1,251,648 and 2,569,649

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Solution

The third proportional to 1,251,648 and 2,569,649 is: 5,275,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,648 : 2,569,649 = 2,569,649 : x
  2. Step 2: Convert to fraction form
    1,251,648/2,569,649 = 2,569,649/x
  3. Step 3: Cross multiply
    1,251,648x = 2,569,649 × 2,569,649
  4. Step 4: Simplify right side
    1,251,648x = 6,603,095,983,201
  5. Step 5: Solve for x
    x = 6,603,095,983,201/1,251,648
  6. Step 6: Final answer
    x = 5,275,521.54

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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.