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Finding the Third Proportional to 722,544 and 1,102,674

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Solution

The third proportional to 722,544 and 1,102,674 is: 1,682,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,544 : 1,102,674 = 1,102,674 : x
  2. Step 2: Convert to fraction form
    722,544/1,102,674 = 1,102,674/x
  3. Step 3: Cross multiply
    722,544x = 1,102,674 × 1,102,674
  4. Step 4: Simplify right side
    722,544x = 1,215,889,950,276
  5. Step 5: Solve for x
    x = 1,215,889,950,276/722,544
  6. Step 6: Final answer
    x = 1,682,790.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.