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Finding the Third Proportional to 541,348 and 1,190,696

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Solution

The third proportional to 541,348 and 1,190,696 is: 2,618,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,348 : 1,190,696 = 1,190,696 : x
  2. Step 2: Convert to fraction form
    541,348/1,190,696 = 1,190,696/x
  3. Step 3: Cross multiply
    541,348x = 1,190,696 × 1,190,696
  4. Step 4: Simplify right side
    541,348x = 1,417,756,964,416
  5. Step 5: Solve for x
    x = 1,417,756,964,416/541,348
  6. Step 6: Final answer
    x = 2,618,938.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.