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Finding the Third Proportional to 2,421,434 and 5,093,829

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Solution

The third proportional to 2,421,434 and 5,093,829 is: 10,715,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,434 : 5,093,829 = 5,093,829 : x
  2. Step 2: Convert to fraction form
    2,421,434/5,093,829 = 5,093,829/x
  3. Step 3: Cross multiply
    2,421,434x = 5,093,829 × 5,093,829
  4. Step 4: Simplify right side
    2,421,434x = 25,947,093,881,241
  5. Step 5: Solve for x
    x = 25,947,093,881,241/2,421,434
  6. Step 6: Final answer
    x = 10,715,589.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.