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Finding the Third Proportional to 535,847 and 1,155,825

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Solution

The third proportional to 535,847 and 1,155,825 is: 2,493,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,847 : 1,155,825 = 1,155,825 : x
  2. Step 2: Convert to fraction form
    535,847/1,155,825 = 1,155,825/x
  3. Step 3: Cross multiply
    535,847x = 1,155,825 × 1,155,825
  4. Step 4: Simplify right side
    535,847x = 1,335,931,430,625
  5. Step 5: Solve for x
    x = 1,335,931,430,625/535,847
  6. Step 6: Final answer
    x = 2,493,121.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.