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Finding the Third Proportional to 705,123 and 1,074,204

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Solution

The third proportional to 705,123 and 1,074,204 is: 1,636,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,123 : 1,074,204 = 1,074,204 : x
  2. Step 2: Convert to fraction form
    705,123/1,074,204 = 1,074,204/x
  3. Step 3: Cross multiply
    705,123x = 1,074,204 × 1,074,204
  4. Step 4: Simplify right side
    705,123x = 1,153,914,233,616
  5. Step 5: Solve for x
    x = 1,153,914,233,616/705,123
  6. Step 6: Final answer
    x = 1,636,472.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.