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Finding the Third Proportional to 2,378,542 and 4,954,076

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Solution

The third proportional to 2,378,542 and 4,954,076 is: 10,318,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,542 : 4,954,076 = 4,954,076 : x
  2. Step 2: Convert to fraction form
    2,378,542/4,954,076 = 4,954,076/x
  3. Step 3: Cross multiply
    2,378,542x = 4,954,076 × 4,954,076
  4. Step 4: Simplify right side
    2,378,542x = 24,542,869,013,776
  5. Step 5: Solve for x
    x = 24,542,869,013,776/2,378,542
  6. Step 6: Final answer
    x = 10,318,450.97

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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.