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Finding the Third Proportional to 540,266 and 1,164,325

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Solution

The third proportional to 540,266 and 1,164,325 is: 2,509,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,266 : 1,164,325 = 1,164,325 : x
  2. Step 2: Convert to fraction form
    540,266/1,164,325 = 1,164,325/x
  3. Step 3: Cross multiply
    540,266x = 1,164,325 × 1,164,325
  4. Step 4: Simplify right side
    540,266x = 1,355,652,705,625
  5. Step 5: Solve for x
    x = 1,355,652,705,625/540,266
  6. Step 6: Final answer
    x = 2,509,231.94

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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.