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Finding the Third Proportional to 567,864 and 1,253,880

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Solution

The third proportional to 567,864 and 1,253,880 is: 2,768,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,864 : 1,253,880 = 1,253,880 : x
  2. Step 2: Convert to fraction form
    567,864/1,253,880 = 1,253,880/x
  3. Step 3: Cross multiply
    567,864x = 1,253,880 × 1,253,880
  4. Step 4: Simplify right side
    567,864x = 1,572,215,054,400
  5. Step 5: Solve for x
    x = 1,572,215,054,400/567,864
  6. Step 6: Final answer
    x = 2,768,647.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.