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Finding the Third Proportional to 798,102 and 1,751,415

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Solution

The third proportional to 798,102 and 1,751,415 is: 3,843,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,102 : 1,751,415 = 1,751,415 : x
  2. Step 2: Convert to fraction form
    798,102/1,751,415 = 1,751,415/x
  3. Step 3: Cross multiply
    798,102x = 1,751,415 × 1,751,415
  4. Step 4: Simplify right side
    798,102x = 3,067,454,502,225
  5. Step 5: Solve for x
    x = 3,067,454,502,225/798,102
  6. Step 6: Final answer
    x = 3,843,436.68

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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.