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Finding the Third Proportional to 523,532 and 1,149,913

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Solution

The third proportional to 523,532 and 1,149,913 is: 2,525,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,532 : 1,149,913 = 1,149,913 : x
  2. Step 2: Convert to fraction form
    523,532/1,149,913 = 1,149,913/x
  3. Step 3: Cross multiply
    523,532x = 1,149,913 × 1,149,913
  4. Step 4: Simplify right side
    523,532x = 1,322,299,907,569
  5. Step 5: Solve for x
    x = 1,322,299,907,569/523,532
  6. Step 6: Final answer
    x = 2,525,728.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.