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Finding the Third Proportional to 568,742 and 1,228,690

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Solution

The third proportional to 568,742 and 1,228,690 is: 2,654,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,742 : 1,228,690 = 1,228,690 : x
  2. Step 2: Convert to fraction form
    568,742/1,228,690 = 1,228,690/x
  3. Step 3: Cross multiply
    568,742x = 1,228,690 × 1,228,690
  4. Step 4: Simplify right side
    568,742x = 1,509,679,116,100
  5. Step 5: Solve for x
    x = 1,509,679,116,100/568,742
  6. Step 6: Final answer
    x = 2,654,418.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.