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Finding the Third Proportional to 567,879 and 1,214,550

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Solution

The third proportional to 567,879 and 1,214,550 is: 2,597,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,879 : 1,214,550 = 1,214,550 : x
  2. Step 2: Convert to fraction form
    567,879/1,214,550 = 1,214,550/x
  3. Step 3: Cross multiply
    567,879x = 1,214,550 × 1,214,550
  4. Step 4: Simplify right side
    567,879x = 1,475,131,702,500
  5. Step 5: Solve for x
    x = 1,475,131,702,500/567,879
  6. Step 6: Final answer
    x = 2,597,616.22

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Why These Related Problems?

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