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Finding the Third Proportional to 2,606,816 and 5,451,982

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Solution

The third proportional to 2,606,816 and 5,451,982 is: 11,402,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606,816 : 5,451,982 = 5,451,982 : x
  2. Step 2: Convert to fraction form
    2,606,816/5,451,982 = 5,451,982/x
  3. Step 3: Cross multiply
    2,606,816x = 5,451,982 × 5,451,982
  4. Step 4: Simplify right side
    2,606,816x = 29,724,107,728,324
  5. Step 5: Solve for x
    x = 29,724,107,728,324/2,606,816
  6. Step 6: Final answer
    x = 11,402,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.