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Finding the Third Proportional to 1,159,231.50 and 2,351,207.25

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Solution

The third proportional to 1,159,231.50 and 2,351,207.25 is: 4,768,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,231.50 : 2,351,207.25 = 2,351,207.25 : x
  2. Step 2: Convert to fraction form
    1,159,231.50/2,351,207.25 = 2,351,207.25/x
  3. Step 3: Cross multiply
    1,159,231.50x = 2,351,207.25 × 2,351,207.25
  4. Step 4: Simplify right side
    1,159,231.50x = 5,528,175,532,452.56
  5. Step 5: Solve for x
    x = 5,528,175,532,452.56/1,159,231.50
  6. Step 6: Final answer
    x = 4,768,827.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.