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Finding the Third Proportional to 566,246 and 1,198,079

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Solution

The third proportional to 566,246 and 1,198,079 is: 2,534,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,246 : 1,198,079 = 1,198,079 : x
  2. Step 2: Convert to fraction form
    566,246/1,198,079 = 1,198,079/x
  3. Step 3: Cross multiply
    566,246x = 1,198,079 × 1,198,079
  4. Step 4: Simplify right side
    566,246x = 1,435,393,290,241
  5. Step 5: Solve for x
    x = 1,435,393,290,241/566,246
  6. Step 6: Final answer
    x = 2,534,928.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.