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Finding the Third Proportional to 751,846 and 1,628,351

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Solution

The third proportional to 751,846 and 1,628,351 is: 3,526,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,846 : 1,628,351 = 1,628,351 : x
  2. Step 2: Convert to fraction form
    751,846/1,628,351 = 1,628,351/x
  3. Step 3: Cross multiply
    751,846x = 1,628,351 × 1,628,351
  4. Step 4: Simplify right side
    751,846x = 2,651,526,979,201
  5. Step 5: Solve for x
    x = 2,651,526,979,201/751,846
  6. Step 6: Final answer
    x = 3,526,688.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.