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Finding the Third Proportional to 798,054 and 1,722,720

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Solution

The third proportional to 798,054 and 1,722,720 is: 3,718,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,054 : 1,722,720 = 1,722,720 : x
  2. Step 2: Convert to fraction form
    798,054/1,722,720 = 1,722,720/x
  3. Step 3: Cross multiply
    798,054x = 1,722,720 × 1,722,720
  4. Step 4: Simplify right side
    798,054x = 2,967,764,198,400
  5. Step 5: Solve for x
    x = 2,967,764,198,400/798,054
  6. Step 6: Final answer
    x = 3,718,751.11

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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.