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Finding the Third Proportional to 852,381 and 1,323,396

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Solution

The third proportional to 852,381 and 1,323,396 is: 2,054,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,381 : 1,323,396 = 1,323,396 : x
  2. Step 2: Convert to fraction form
    852,381/1,323,396 = 1,323,396/x
  3. Step 3: Cross multiply
    852,381x = 1,323,396 × 1,323,396
  4. Step 4: Simplify right side
    852,381x = 1,751,376,972,816
  5. Step 5: Solve for x
    x = 1,751,376,972,816/852,381
  6. Step 6: Final answer
    x = 2,054,687.95

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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.