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Finding the Third Proportional to 524,018 and 1,122,745

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Solution

The third proportional to 524,018 and 1,122,745 is: 2,405,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,018 : 1,122,745 = 1,122,745 : x
  2. Step 2: Convert to fraction form
    524,018/1,122,745 = 1,122,745/x
  3. Step 3: Cross multiply
    524,018x = 1,122,745 × 1,122,745
  4. Step 4: Simplify right side
    524,018x = 1,260,556,335,025
  5. Step 5: Solve for x
    x = 1,260,556,335,025/524,018
  6. Step 6: Final answer
    x = 2,405,559.23

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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.