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Finding the Third Proportional to 524,590 and 1,123,976

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Solution

The third proportional to 524,590 and 1,123,976 is: 2,408,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,590 : 1,123,976 = 1,123,976 : x
  2. Step 2: Convert to fraction form
    524,590/1,123,976 = 1,123,976/x
  3. Step 3: Cross multiply
    524,590x = 1,123,976 × 1,123,976
  4. Step 4: Simplify right side
    524,590x = 1,263,322,048,576
  5. Step 5: Solve for x
    x = 1,263,322,048,576/524,590
  6. Step 6: Final answer
    x = 2,408,208.41

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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.