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Finding the Third Proportional to 541,822 and 797,021

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Solution

The third proportional to 541,822 and 797,021 is: 1,172,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,822 : 797,021 = 797,021 : x
  2. Step 2: Convert to fraction form
    541,822/797,021 = 797,021/x
  3. Step 3: Cross multiply
    541,822x = 797,021 × 797,021
  4. Step 4: Simplify right side
    541,822x = 635,242,474,441
  5. Step 5: Solve for x
    x = 635,242,474,441/541,822
  6. Step 6: Final answer
    x = 1,172,419.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.