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Finding the Third Proportional to 541,540 and 793,836

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Solution

The third proportional to 541,540 and 793,836 is: 1,163,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,540 : 793,836 = 793,836 : x
  2. Step 2: Convert to fraction form
    541,540/793,836 = 793,836/x
  3. Step 3: Cross multiply
    541,540x = 793,836 × 793,836
  4. Step 4: Simplify right side
    541,540x = 630,175,594,896
  5. Step 5: Solve for x
    x = 630,175,594,896/541,540
  6. Step 6: Final answer
    x = 1,163,673.22

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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.