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Finding the Third Proportional to 524,463 and 1,150,014

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Solution

The third proportional to 524,463 and 1,150,014 is: 2,521,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,463 : 1,150,014 = 1,150,014 : x
  2. Step 2: Convert to fraction form
    524,463/1,150,014 = 1,150,014/x
  3. Step 3: Cross multiply
    524,463x = 1,150,014 × 1,150,014
  4. Step 4: Simplify right side
    524,463x = 1,322,532,200,196
  5. Step 5: Solve for x
    x = 1,322,532,200,196/524,463
  6. Step 6: Final answer
    x = 2,521,688.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.