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Finding the Third Proportional to 543,528 and 1,194,588

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Solution

The third proportional to 543,528 and 1,194,588 is: 2,625,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,528 : 1,194,588 = 1,194,588 : x
  2. Step 2: Convert to fraction form
    543,528/1,194,588 = 1,194,588/x
  3. Step 3: Cross multiply
    543,528x = 1,194,588 × 1,194,588
  4. Step 4: Simplify right side
    543,528x = 1,427,040,489,744
  5. Step 5: Solve for x
    x = 1,427,040,489,744/543,528
  6. Step 6: Final answer
    x = 2,625,514.21

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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.