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Finding the Third Proportional to 568,634 and 1,216,000

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Solution

The third proportional to 568,634 and 1,216,000 is: 2,600,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,634 : 1,216,000 = 1,216,000 : x
  2. Step 2: Convert to fraction form
    568,634/1,216,000 = 1,216,000/x
  3. Step 3: Cross multiply
    568,634x = 1,216,000 × 1,216,000
  4. Step 4: Simplify right side
    568,634x = 1,478,656,000,000
  5. Step 5: Solve for x
    x = 1,478,656,000,000/568,634
  6. Step 6: Final answer
    x = 2,600,365.09

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