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Finding the Third Proportional to 520,544 and 1,086,272

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Solution

The third proportional to 520,544 and 1,086,272 is: 2,266,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,544 : 1,086,272 = 1,086,272 : x
  2. Step 2: Convert to fraction form
    520,544/1,086,272 = 1,086,272/x
  3. Step 3: Cross multiply
    520,544x = 1,086,272 × 1,086,272
  4. Step 4: Simplify right side
    520,544x = 1,179,986,857,984
  5. Step 5: Solve for x
    x = 1,179,986,857,984/520,544
  6. Step 6: Final answer
    x = 2,266,834.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.