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Finding the Third Proportional to 1,206,869 and 2,512,944

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Solution

The third proportional to 1,206,869 and 2,512,944 is: 5,232,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,869 : 2,512,944 = 2,512,944 : x
  2. Step 2: Convert to fraction form
    1,206,869/2,512,944 = 2,512,944/x
  3. Step 3: Cross multiply
    1,206,869x = 2,512,944 × 2,512,944
  4. Step 4: Simplify right side
    1,206,869x = 6,314,887,547,136
  5. Step 5: Solve for x
    x = 6,314,887,547,136/1,206,869
  6. Step 6: Final answer
    x = 5,232,454.85

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Why These Related Problems?

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