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Finding the Third Proportional to 536,549 and 1,166,285

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Solution

The third proportional to 536,549 and 1,166,285 is: 2,535,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,549 : 1,166,285 = 1,166,285 : x
  2. Step 2: Convert to fraction form
    536,549/1,166,285 = 1,166,285/x
  3. Step 3: Cross multiply
    536,549x = 1,166,285 × 1,166,285
  4. Step 4: Simplify right side
    536,549x = 1,360,220,701,225
  5. Step 5: Solve for x
    x = 1,360,220,701,225/536,549
  6. Step 6: Final answer
    x = 2,535,128.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.