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Finding the Third Proportional to 2,653,896 and 4,002,834

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Solution

The third proportional to 2,653,896 and 4,002,834 is: 6,037,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,896 : 4,002,834 = 4,002,834 : x
  2. Step 2: Convert to fraction form
    2,653,896/4,002,834 = 4,002,834/x
  3. Step 3: Cross multiply
    2,653,896x = 4,002,834 × 4,002,834
  4. Step 4: Simplify right side
    2,653,896x = 16,022,680,031,556
  5. Step 5: Solve for x
    x = 16,022,680,031,556/2,653,896
  6. Step 6: Final answer
    x = 6,037,418.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.