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Finding the Third Proportional to 2,497,884 and 5,894,634

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Solution

The third proportional to 2,497,884 and 5,894,634 is: 13,910,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497,884 : 5,894,634 = 5,894,634 : x
  2. Step 2: Convert to fraction form
    2,497,884/5,894,634 = 5,894,634/x
  3. Step 3: Cross multiply
    2,497,884x = 5,894,634 × 5,894,634
  4. Step 4: Simplify right side
    2,497,884x = 34,746,709,993,956
  5. Step 5: Solve for x
    x = 34,746,709,993,956/2,497,884
  6. Step 6: Final answer
    x = 13,910,457.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.