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Finding the Third Proportional to 553,682 and 854,134

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Solution

The third proportional to 553,682 and 854,134 is: 1,317,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,682 : 854,134 = 854,134 : x
  2. Step 2: Convert to fraction form
    553,682/854,134 = 854,134/x
  3. Step 3: Cross multiply
    553,682x = 854,134 × 854,134
  4. Step 4: Simplify right side
    553,682x = 729,544,889,956
  5. Step 5: Solve for x
    x = 729,544,889,956/553,682
  6. Step 6: Final answer
    x = 1,317,624.36

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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.