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Finding the Third Proportional to 798,622 and 1,744,623

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Solution

The third proportional to 798,622 and 1,744,623 is: 3,811,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,622 : 1,744,623 = 1,744,623 : x
  2. Step 2: Convert to fraction form
    798,622/1,744,623 = 1,744,623/x
  3. Step 3: Cross multiply
    798,622x = 1,744,623 × 1,744,623
  4. Step 4: Simplify right side
    798,622x = 3,043,709,412,129
  5. Step 5: Solve for x
    x = 3,043,709,412,129/798,622
  6. Step 6: Final answer
    x = 3,811,201.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.