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Finding the Third Proportional to 774,180 and 1,579,460

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Solution

The third proportional to 774,180 and 1,579,460 is: 3,222,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,180 : 1,579,460 = 1,579,460 : x
  2. Step 2: Convert to fraction form
    774,180/1,579,460 = 1,579,460/x
  3. Step 3: Cross multiply
    774,180x = 1,579,460 × 1,579,460
  4. Step 4: Simplify right side
    774,180x = 2,494,693,891,600
  5. Step 5: Solve for x
    x = 2,494,693,891,600/774,180
  6. Step 6: Final answer
    x = 3,222,369.33

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.