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Finding the Third Proportional to 517,908 and 1,129,980

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Solution

The third proportional to 517,908 and 1,129,980 is: 2,465,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,908 : 1,129,980 = 1,129,980 : x
  2. Step 2: Convert to fraction form
    517,908/1,129,980 = 1,129,980/x
  3. Step 3: Cross multiply
    517,908x = 1,129,980 × 1,129,980
  4. Step 4: Simplify right side
    517,908x = 1,276,854,800,400
  5. Step 5: Solve for x
    x = 1,276,854,800,400/517,908
  6. Step 6: Final answer
    x = 2,465,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.