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Finding the Third Proportional to 1,636,869 and 2,477,942

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Solution

The third proportional to 1,636,869 and 2,477,942 is: 3,751,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,869 : 2,477,942 = 2,477,942 : x
  2. Step 2: Convert to fraction form
    1,636,869/2,477,942 = 2,477,942/x
  3. Step 3: Cross multiply
    1,636,869x = 2,477,942 × 2,477,942
  4. Step 4: Simplify right side
    1,636,869x = 6,140,196,555,364
  5. Step 5: Solve for x
    x = 6,140,196,555,364/1,636,869
  6. Step 6: Final answer
    x = 3,751,183.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.