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Finding the Third Proportional to 538,498 and 1,181,444

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Solution

The third proportional to 538,498 and 1,181,444 is: 2,592,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,498 : 1,181,444 = 1,181,444 : x
  2. Step 2: Convert to fraction form
    538,498/1,181,444 = 1,181,444/x
  3. Step 3: Cross multiply
    538,498x = 1,181,444 × 1,181,444
  4. Step 4: Simplify right side
    538,498x = 1,395,809,925,136
  5. Step 5: Solve for x
    x = 1,395,809,925,136/538,498
  6. Step 6: Final answer
    x = 2,592,042.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.