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Finding the Third Proportional to 632,016 and 1,382,271.75

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Solution

The third proportional to 632,016 and 1,382,271.75 is: 3,023,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,016 : 1,382,271.75 = 1,382,271.75 : x
  2. Step 2: Convert to fraction form
    632,016/1,382,271.75 = 1,382,271.75/x
  3. Step 3: Cross multiply
    632,016x = 1,382,271.75 × 1,382,271.75
  4. Step 4: Simplify right side
    632,016x = 1,910,675,190,848.06
  5. Step 5: Solve for x
    x = 1,910,675,190,848.06/632,016
  6. Step 6: Final answer
    x = 3,023,143.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.