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Finding the Third Proportional to 611,349 and 1,340,796

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Solution

The third proportional to 611,349 and 1,340,796 is: 2,940,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,349 : 1,340,796 = 1,340,796 : x
  2. Step 2: Convert to fraction form
    611,349/1,340,796 = 1,340,796/x
  3. Step 3: Cross multiply
    611,349x = 1,340,796 × 1,340,796
  4. Step 4: Simplify right side
    611,349x = 1,797,733,913,616
  5. Step 5: Solve for x
    x = 1,797,733,913,616/611,349
  6. Step 6: Final answer
    x = 2,940,601.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.