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Finding the Third Proportional to 525,806.44 and 1,131,572.53

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Solution

The third proportional to 525,806.44 and 1,131,572.53 is: 2,435,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,806.44 : 1,131,572.53 = 1,131,572.53 : x
  2. Step 2: Convert to fraction form
    525,806.44/1,131,572.53 = 1,131,572.53/x
  3. Step 3: Cross multiply
    525,806.44x = 1,131,572.53 × 1,131,572.53
  4. Step 4: Simplify right side
    525,806.44x = 1,280,456,393,479.53
  5. Step 5: Solve for x
    x = 1,280,456,393,479.53/525,806.44
  6. Step 6: Final answer
    x = 2,435,223.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.