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Finding the Third Proportional to 774,067 and 1,195,614

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Solution

The third proportional to 774,067 and 1,195,614 is: 1,846,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,067 : 1,195,614 = 1,195,614 : x
  2. Step 2: Convert to fraction form
    774,067/1,195,614 = 1,195,614/x
  3. Step 3: Cross multiply
    774,067x = 1,195,614 × 1,195,614
  4. Step 4: Simplify right side
    774,067x = 1,429,492,836,996
  5. Step 5: Solve for x
    x = 1,429,492,836,996/774,067
  6. Step 6: Final answer
    x = 1,846,730.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.