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Finding the Third Proportional to 960,100 and 2,074,232

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Solution

The third proportional to 960,100 and 2,074,232 is: 4,481,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,100 : 2,074,232 = 2,074,232 : x
  2. Step 2: Convert to fraction form
    960,100/2,074,232 = 2,074,232/x
  3. Step 3: Cross multiply
    960,100x = 2,074,232 × 2,074,232
  4. Step 4: Simplify right side
    960,100x = 4,302,438,389,824
  5. Step 5: Solve for x
    x = 4,302,438,389,824/960,100
  6. Step 6: Final answer
    x = 4,481,239.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.