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Finding the Third Proportional to 797,205 and 1,734,378

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Solution

The third proportional to 797,205 and 1,734,378 is: 3,773,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,205 : 1,734,378 = 1,734,378 : x
  2. Step 2: Convert to fraction form
    797,205/1,734,378 = 1,734,378/x
  3. Step 3: Cross multiply
    797,205x = 1,734,378 × 1,734,378
  4. Step 4: Simplify right side
    797,205x = 3,008,067,046,884
  5. Step 5: Solve for x
    x = 3,008,067,046,884/797,205
  6. Step 6: Final answer
    x = 3,773,266.66

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