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Finding the Third Proportional to 577,128 and 1,259,232

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Solution

The third proportional to 577,128 and 1,259,232 is: 2,747,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,128 : 1,259,232 = 1,259,232 : x
  2. Step 2: Convert to fraction form
    577,128/1,259,232 = 1,259,232/x
  3. Step 3: Cross multiply
    577,128x = 1,259,232 × 1,259,232
  4. Step 4: Simplify right side
    577,128x = 1,585,665,229,824
  5. Step 5: Solve for x
    x = 1,585,665,229,824/577,128
  6. Step 6: Final answer
    x = 2,747,510.48

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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.