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Finding the Third Proportional to 974,869 and 2,103,874

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Solution

The third proportional to 974,869 and 2,103,874 is: 4,540,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,869 : 2,103,874 = 2,103,874 : x
  2. Step 2: Convert to fraction form
    974,869/2,103,874 = 2,103,874/x
  3. Step 3: Cross multiply
    974,869x = 2,103,874 × 2,103,874
  4. Step 4: Simplify right side
    974,869x = 4,426,285,807,876
  5. Step 5: Solve for x
    x = 4,426,285,807,876/974,869
  6. Step 6: Final answer
    x = 4,540,390.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.