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Finding the Third Proportional to 434,836 and 946,864

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Solution

The third proportional to 434,836 and 946,864 is: 2,061,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,836 : 946,864 = 946,864 : x
  2. Step 2: Convert to fraction form
    434,836/946,864 = 946,864/x
  3. Step 3: Cross multiply
    434,836x = 946,864 × 946,864
  4. Step 4: Simplify right side
    434,836x = 896,551,434,496
  5. Step 5: Solve for x
    x = 896,551,434,496/434,836
  6. Step 6: Final answer
    x = 2,061,815.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.