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Finding the Third Proportional to 1,633,016 and 3,546,452

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Solution

The third proportional to 1,633,016 and 3,546,452 is: 7,701,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,016 : 3,546,452 = 3,546,452 : x
  2. Step 2: Convert to fraction form
    1,633,016/3,546,452 = 3,546,452/x
  3. Step 3: Cross multiply
    1,633,016x = 3,546,452 × 3,546,452
  4. Step 4: Simplify right side
    1,633,016x = 12,577,321,788,304
  5. Step 5: Solve for x
    x = 12,577,321,788,304/1,633,016
  6. Step 6: Final answer
    x = 7,701,897.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.