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Finding the Third Proportional to 774,165 and 1,579,434

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Solution

The third proportional to 774,165 and 1,579,434 is: 3,222,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,165 : 1,579,434 = 1,579,434 : x
  2. Step 2: Convert to fraction form
    774,165/1,579,434 = 1,579,434/x
  3. Step 3: Cross multiply
    774,165x = 1,579,434 × 1,579,434
  4. Step 4: Simplify right side
    774,165x = 2,494,611,760,356
  5. Step 5: Solve for x
    x = 2,494,611,760,356/774,165
  6. Step 6: Final answer
    x = 3,222,325.68

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Why These Related Problems?

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