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Finding the Third Proportional to 926,397 and 1,981,215

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Solution

The third proportional to 926,397 and 1,981,215 is: 4,237,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,397 : 1,981,215 = 1,981,215 : x
  2. Step 2: Convert to fraction form
    926,397/1,981,215 = 1,981,215/x
  3. Step 3: Cross multiply
    926,397x = 1,981,215 × 1,981,215
  4. Step 4: Simplify right side
    926,397x = 3,925,212,876,225
  5. Step 5: Solve for x
    x = 3,925,212,876,225/926,397
  6. Step 6: Final answer
    x = 4,237,074.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.