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Finding the Third Proportional to 426,597 and 918,225

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Solution

The third proportional to 426,597 and 918,225 is: 1,976,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,597 : 918,225 = 918,225 : x
  2. Step 2: Convert to fraction form
    426,597/918,225 = 918,225/x
  3. Step 3: Cross multiply
    426,597x = 918,225 × 918,225
  4. Step 4: Simplify right side
    426,597x = 843,137,150,625
  5. Step 5: Solve for x
    x = 843,137,150,625/426,597
  6. Step 6: Final answer
    x = 1,976,425.41

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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.