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Finding the Third Proportional to 798,045 and 1,751,163

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Solution

The third proportional to 798,045 and 1,751,163 is: 3,842,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,045 : 1,751,163 = 1,751,163 : x
  2. Step 2: Convert to fraction form
    798,045/1,751,163 = 1,751,163/x
  3. Step 3: Cross multiply
    798,045x = 1,751,163 × 1,751,163
  4. Step 4: Simplify right side
    798,045x = 3,066,571,852,569
  5. Step 5: Solve for x
    x = 3,066,571,852,569/798,045
  6. Step 6: Final answer
    x = 3,842,605.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.