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Finding the Third Proportional to 568,240 and 1,206,554

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Solution

The third proportional to 568,240 and 1,206,554 is: 2,561,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,240 : 1,206,554 = 1,206,554 : x
  2. Step 2: Convert to fraction form
    568,240/1,206,554 = 1,206,554/x
  3. Step 3: Cross multiply
    568,240x = 1,206,554 × 1,206,554
  4. Step 4: Simplify right side
    568,240x = 1,455,772,554,916
  5. Step 5: Solve for x
    x = 1,455,772,554,916/568,240
  6. Step 6: Final answer
    x = 2,561,897.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.