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Finding the Third Proportional to 798,049 and 1,722,710

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Solution

The third proportional to 798,049 and 1,722,710 is: 3,718,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,049 : 1,722,710 = 1,722,710 : x
  2. Step 2: Convert to fraction form
    798,049/1,722,710 = 1,722,710/x
  3. Step 3: Cross multiply
    798,049x = 1,722,710 × 1,722,710
  4. Step 4: Simplify right side
    798,049x = 2,967,729,744,100
  5. Step 5: Solve for x
    x = 2,967,729,744,100/798,049
  6. Step 6: Final answer
    x = 3,718,731.24

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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.