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Finding the Third Proportional to 569,744 and 1,230,856

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Solution

The third proportional to 569,744 and 1,230,856 is: 2,659,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,744 : 1,230,856 = 1,230,856 : x
  2. Step 2: Convert to fraction form
    569,744/1,230,856 = 1,230,856/x
  3. Step 3: Cross multiply
    569,744x = 1,230,856 × 1,230,856
  4. Step 4: Simplify right side
    569,744x = 1,515,006,492,736
  5. Step 5: Solve for x
    x = 1,515,006,492,736/569,744
  6. Step 6: Final answer
    x = 2,659,100.39

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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.