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Finding the Third Proportional to 2,287,564 and 4,951,682

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Solution

The third proportional to 2,287,564 and 4,951,682 is: 10,718,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,564 : 4,951,682 = 4,951,682 : x
  2. Step 2: Convert to fraction form
    2,287,564/4,951,682 = 4,951,682/x
  3. Step 3: Cross multiply
    2,287,564x = 4,951,682 × 4,951,682
  4. Step 4: Simplify right side
    2,287,564x = 24,519,154,629,124
  5. Step 5: Solve for x
    x = 24,519,154,629,124/2,287,564
  6. Step 6: Final answer
    x = 10,718,456.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.