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Finding the Third Proportional to 525,873 and 1,149,009

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Solution

The third proportional to 525,873 and 1,149,009 is: 2,510,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,873 : 1,149,009 = 1,149,009 : x
  2. Step 2: Convert to fraction form
    525,873/1,149,009 = 1,149,009/x
  3. Step 3: Cross multiply
    525,873x = 1,149,009 × 1,149,009
  4. Step 4: Simplify right side
    525,873x = 1,320,221,682,081
  5. Step 5: Solve for x
    x = 1,320,221,682,081/525,873
  6. Step 6: Final answer
    x = 2,510,533.31

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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.