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Finding the Third Proportional to 568,523 and 1,237,270

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Solution

The third proportional to 568,523 and 1,237,270 is: 2,692,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,523 : 1,237,270 = 1,237,270 : x
  2. Step 2: Convert to fraction form
    568,523/1,237,270 = 1,237,270/x
  3. Step 3: Cross multiply
    568,523x = 1,237,270 × 1,237,270
  4. Step 4: Simplify right side
    568,523x = 1,530,837,052,900
  5. Step 5: Solve for x
    x = 1,530,837,052,900/568,523
  6. Step 6: Final answer
    x = 2,692,656.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.