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Finding the Third Proportional to 572,976 and 1,214,253

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Solution

The third proportional to 572,976 and 1,214,253 is: 2,573,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,976 : 1,214,253 = 1,214,253 : x
  2. Step 2: Convert to fraction form
    572,976/1,214,253 = 1,214,253/x
  3. Step 3: Cross multiply
    572,976x = 1,214,253 × 1,214,253
  4. Step 4: Simplify right side
    572,976x = 1,474,410,348,009
  5. Step 5: Solve for x
    x = 1,474,410,348,009/572,976
  6. Step 6: Final answer
    x = 2,573,249.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.