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Finding the Third Proportional to 610,895.25 and 1,342,230.75

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Solution

The third proportional to 610,895.25 and 1,342,230.75 is: 2,949,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,895.25 : 1,342,230.75 = 1,342,230.75 : x
  2. Step 2: Convert to fraction form
    610,895.25/1,342,230.75 = 1,342,230.75/x
  3. Step 3: Cross multiply
    610,895.25x = 1,342,230.75 × 1,342,230.75
  4. Step 4: Simplify right side
    610,895.25x = 1,801,583,386,245.56
  5. Step 5: Solve for x
    x = 1,801,583,386,245.56/610,895.25
  6. Step 6: Final answer
    x = 2,949,087.24

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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.