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Finding the Third Proportional to 675,832 and 1,571,480

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Solution

The third proportional to 675,832 and 1,571,480 is: 3,654,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,832 : 1,571,480 = 1,571,480 : x
  2. Step 2: Convert to fraction form
    675,832/1,571,480 = 1,571,480/x
  3. Step 3: Cross multiply
    675,832x = 1,571,480 × 1,571,480
  4. Step 4: Simplify right side
    675,832x = 2,469,549,390,400
  5. Step 5: Solve for x
    x = 2,469,549,390,400/675,832
  6. Step 6: Final answer
    x = 3,654,087.69

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.