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Finding the Third Proportional to 532,467 and 1,158,225

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Solution

The third proportional to 532,467 and 1,158,225 is: 2,519,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,467 : 1,158,225 = 1,158,225 : x
  2. Step 2: Convert to fraction form
    532,467/1,158,225 = 1,158,225/x
  3. Step 3: Cross multiply
    532,467x = 1,158,225 × 1,158,225
  4. Step 4: Simplify right side
    532,467x = 1,341,485,150,625
  5. Step 5: Solve for x
    x = 1,341,485,150,625/532,467
  6. Step 6: Final answer
    x = 2,519,377.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.