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Finding the Third Proportional to 750,738 and 1,619,573

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Solution

The third proportional to 750,738 and 1,619,573 is: 3,493,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,738 : 1,619,573 = 1,619,573 : x
  2. Step 2: Convert to fraction form
    750,738/1,619,573 = 1,619,573/x
  3. Step 3: Cross multiply
    750,738x = 1,619,573 × 1,619,573
  4. Step 4: Simplify right side
    750,738x = 2,623,016,702,329
  5. Step 5: Solve for x
    x = 2,623,016,702,329/750,738
  6. Step 6: Final answer
    x = 3,493,917.59

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Why These Related Problems?

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