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Finding the Third Proportional to 2,746,914 and 4,040,985

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Solution

The third proportional to 2,746,914 and 4,040,985 is: 5,944,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,914 : 4,040,985 = 4,040,985 : x
  2. Step 2: Convert to fraction form
    2,746,914/4,040,985 = 4,040,985/x
  3. Step 3: Cross multiply
    2,746,914x = 4,040,985 × 4,040,985
  4. Step 4: Simplify right side
    2,746,914x = 16,329,559,770,225
  5. Step 5: Solve for x
    x = 16,329,559,770,225/2,746,914
  6. Step 6: Final answer
    x = 5,944,692.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.