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Finding the Third Proportional to 568,174 and 1,262,467

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Solution

The third proportional to 568,174 and 1,262,467 is: 2,805,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,174 : 1,262,467 = 1,262,467 : x
  2. Step 2: Convert to fraction form
    568,174/1,262,467 = 1,262,467/x
  3. Step 3: Cross multiply
    568,174x = 1,262,467 × 1,262,467
  4. Step 4: Simplify right side
    568,174x = 1,593,822,926,089
  5. Step 5: Solve for x
    x = 1,593,822,926,089/568,174
  6. Step 6: Final answer
    x = 2,805,166.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.