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Finding the Third Proportional to 525,144 and 1,125,018

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Solution

The third proportional to 525,144 and 1,125,018 is: 2,410,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,144 : 1,125,018 = 1,125,018 : x
  2. Step 2: Convert to fraction form
    525,144/1,125,018 = 1,125,018/x
  3. Step 3: Cross multiply
    525,144x = 1,125,018 × 1,125,018
  4. Step 4: Simplify right side
    525,144x = 1,265,665,500,324
  5. Step 5: Solve for x
    x = 1,265,665,500,324/525,144
  6. Step 6: Final answer
    x = 2,410,130.36

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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.