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Finding the Third Proportional to 1,354,968 and 1,981,568.25

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Solution

The third proportional to 1,354,968 and 1,981,568.25 is: 2,897,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,968 : 1,981,568.25 = 1,981,568.25 : x
  2. Step 2: Convert to fraction form
    1,354,968/1,981,568.25 = 1,981,568.25/x
  3. Step 3: Cross multiply
    1,354,968x = 1,981,568.25 × 1,981,568.25
  4. Step 4: Simplify right side
    1,354,968x = 3,926,612,729,408.06
  5. Step 5: Solve for x
    x = 3,926,612,729,408.06/1,354,968
  6. Step 6: Final answer
    x = 2,897,937.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.