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Finding the Third Proportional to 2,563,734 and 4,021,593

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Solution

The third proportional to 2,563,734 and 4,021,593 is: 6,308,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,734 : 4,021,593 = 4,021,593 : x
  2. Step 2: Convert to fraction form
    2,563,734/4,021,593 = 4,021,593/x
  3. Step 3: Cross multiply
    2,563,734x = 4,021,593 × 4,021,593
  4. Step 4: Simplify right side
    2,563,734x = 16,173,210,257,649
  5. Step 5: Solve for x
    x = 16,173,210,257,649/2,563,734
  6. Step 6: Final answer
    x = 6,308,458.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.