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Finding the Third Proportional to 541,820 and 797,018

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Solution

The third proportional to 541,820 and 797,018 is: 1,172,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,820 : 797,018 = 797,018 : x
  2. Step 2: Convert to fraction form
    541,820/797,018 = 797,018/x
  3. Step 3: Cross multiply
    541,820x = 797,018 × 797,018
  4. Step 4: Simplify right side
    541,820x = 635,237,692,324
  5. Step 5: Solve for x
    x = 635,237,692,324/541,820
  6. Step 6: Final answer
    x = 1,172,414.63

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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.