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Finding the Third Proportional to 751,136 and 1,620,232

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Solution

The third proportional to 751,136 and 1,620,232 is: 3,494,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,136 : 1,620,232 = 1,620,232 : x
  2. Step 2: Convert to fraction form
    751,136/1,620,232 = 1,620,232/x
  3. Step 3: Cross multiply
    751,136x = 1,620,232 × 1,620,232
  4. Step 4: Simplify right side
    751,136x = 2,625,151,733,824
  5. Step 5: Solve for x
    x = 2,625,151,733,824/751,136
  6. Step 6: Final answer
    x = 3,494,908.69

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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.