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Finding the Third Proportional to 551,744 and 1,182,232

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Solution

The third proportional to 551,744 and 1,182,232 is: 2,533,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,744 : 1,182,232 = 1,182,232 : x
  2. Step 2: Convert to fraction form
    551,744/1,182,232 = 1,182,232/x
  3. Step 3: Cross multiply
    551,744x = 1,182,232 × 1,182,232
  4. Step 4: Simplify right side
    551,744x = 1,397,672,501,824
  5. Step 5: Solve for x
    x = 1,397,672,501,824/551,744
  6. Step 6: Final answer
    x = 2,533,190.21

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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.