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Finding the Third Proportional to 568,469 and 1,215,706

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Solution

The third proportional to 568,469 and 1,215,706 is: 2,599,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,469 : 1,215,706 = 1,215,706 : x
  2. Step 2: Convert to fraction form
    568,469/1,215,706 = 1,215,706/x
  3. Step 3: Cross multiply
    568,469x = 1,215,706 × 1,215,706
  4. Step 4: Simplify right side
    568,469x = 1,477,941,078,436
  5. Step 5: Solve for x
    x = 1,477,941,078,436/568,469
  6. Step 6: Final answer
    x = 2,599,862.22

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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.