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Finding the Third Proportional to 711,051.75 and 1,321,227

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Solution

The third proportional to 711,051.75 and 1,321,227 is: 2,455,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,051.75 : 1,321,227 = 1,321,227 : x
  2. Step 2: Convert to fraction form
    711,051.75/1,321,227 = 1,321,227/x
  3. Step 3: Cross multiply
    711,051.75x = 1,321,227 × 1,321,227
  4. Step 4: Simplify right side
    711,051.75x = 1,745,640,785,529
  5. Step 5: Solve for x
    x = 1,745,640,785,529/711,051.75
  6. Step 6: Final answer
    x = 2,455,012.29

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.