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Finding the Third Proportional to 435,314 and 914,692

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Solution

The third proportional to 435,314 and 914,692 is: 1,921,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,314 : 914,692 = 914,692 : x
  2. Step 2: Convert to fraction form
    435,314/914,692 = 914,692/x
  3. Step 3: Cross multiply
    435,314x = 914,692 × 914,692
  4. Step 4: Simplify right side
    435,314x = 836,661,454,864
  5. Step 5: Solve for x
    x = 836,661,454,864/435,314
  6. Step 6: Final answer
    x = 1,921,972.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.