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Finding the Third Proportional to 541,199 and 1,174,623

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Solution

The third proportional to 541,199 and 1,174,623 is: 2,549,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,199 : 1,174,623 = 1,174,623 : x
  2. Step 2: Convert to fraction form
    541,199/1,174,623 = 1,174,623/x
  3. Step 3: Cross multiply
    541,199x = 1,174,623 × 1,174,623
  4. Step 4: Simplify right side
    541,199x = 1,379,739,192,129
  5. Step 5: Solve for x
    x = 1,379,739,192,129/541,199
  6. Step 6: Final answer
    x = 2,549,411.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.