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Finding the Third Proportional to 1,054,123.50 and 2,318,163

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Solution

The third proportional to 1,054,123.50 and 2,318,163 is: 5,097,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,123.50 : 2,318,163 = 2,318,163 : x
  2. Step 2: Convert to fraction form
    1,054,123.50/2,318,163 = 2,318,163/x
  3. Step 3: Cross multiply
    1,054,123.50x = 2,318,163 × 2,318,163
  4. Step 4: Simplify right side
    1,054,123.50x = 5,373,879,694,569
  5. Step 5: Solve for x
    x = 5,373,879,694,569/1,054,123.50
  6. Step 6: Final answer
    x = 5,097,960.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.