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Finding the Third Proportional to 568,456 and 1,215,684

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Solution

The third proportional to 568,456 and 1,215,684 is: 2,599,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,456 : 1,215,684 = 1,215,684 : x
  2. Step 2: Convert to fraction form
    568,456/1,215,684 = 1,215,684/x
  3. Step 3: Cross multiply
    568,456x = 1,215,684 × 1,215,684
  4. Step 4: Simplify right side
    568,456x = 1,477,887,587,856
  5. Step 5: Solve for x
    x = 1,477,887,587,856/568,456
  6. Step 6: Final answer
    x = 2,599,827.58

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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.