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Finding the Third Proportional to 568,635 and 1,216,002

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Solution

The third proportional to 568,635 and 1,216,002 is: 2,600,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,635 : 1,216,002 = 1,216,002 : x
  2. Step 2: Convert to fraction form
    568,635/1,216,002 = 1,216,002/x
  3. Step 3: Cross multiply
    568,635x = 1,216,002 × 1,216,002
  4. Step 4: Simplify right side
    568,635x = 1,478,660,864,004
  5. Step 5: Solve for x
    x = 1,478,660,864,004/568,635
  6. Step 6: Final answer
    x = 2,600,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.