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Finding the Third Proportional to 726,618 and 1,134,079

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Solution

The third proportional to 726,618 and 1,134,079 is: 1,770,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,618 : 1,134,079 = 1,134,079 : x
  2. Step 2: Convert to fraction form
    726,618/1,134,079 = 1,134,079/x
  3. Step 3: Cross multiply
    726,618x = 1,134,079 × 1,134,079
  4. Step 4: Simplify right side
    726,618x = 1,286,135,178,241
  5. Step 5: Solve for x
    x = 1,286,135,178,241/726,618
  6. Step 6: Final answer
    x = 1,770,029.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.