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Finding the Third Proportional to 1,282,032 and 1,992,968

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Solution

The third proportional to 1,282,032 and 1,992,968 is: 3,098,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,032 : 1,992,968 = 1,992,968 : x
  2. Step 2: Convert to fraction form
    1,282,032/1,992,968 = 1,992,968/x
  3. Step 3: Cross multiply
    1,282,032x = 1,992,968 × 1,992,968
  4. Step 4: Simplify right side
    1,282,032x = 3,971,921,449,024
  5. Step 5: Solve for x
    x = 3,971,921,449,024/1,282,032
  6. Step 6: Final answer
    x = 3,098,145.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.