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Finding the Third Proportional to 774,072 and 1,195,622

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Solution

The third proportional to 774,072 and 1,195,622 is: 1,846,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,072 : 1,195,622 = 1,195,622 : x
  2. Step 2: Convert to fraction form
    774,072/1,195,622 = 1,195,622/x
  3. Step 3: Cross multiply
    774,072x = 1,195,622 × 1,195,622
  4. Step 4: Simplify right side
    774,072x = 1,429,511,966,884
  5. Step 5: Solve for x
    x = 1,429,511,966,884/774,072
  6. Step 6: Final answer
    x = 1,846,742.90

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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.