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Finding the Third Proportional to 599,120 and 925,228

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Solution

The third proportional to 599,120 and 925,228 is: 1,428,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,120 : 925,228 = 925,228 : x
  2. Step 2: Convert to fraction form
    599,120/925,228 = 925,228/x
  3. Step 3: Cross multiply
    599,120x = 925,228 × 925,228
  4. Step 4: Simplify right side
    599,120x = 856,046,851,984
  5. Step 5: Solve for x
    x = 856,046,851,984/599,120
  6. Step 6: Final answer
    x = 1,428,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.