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Finding the Third Proportional to 434,467 and 946,168

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Solution

The third proportional to 434,467 and 946,168 is: 2,060,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,467 : 946,168 = 946,168 : x
  2. Step 2: Convert to fraction form
    434,467/946,168 = 946,168/x
  3. Step 3: Cross multiply
    434,467x = 946,168 × 946,168
  4. Step 4: Simplify right side
    434,467x = 895,233,884,224
  5. Step 5: Solve for x
    x = 895,233,884,224/434,467
  6. Step 6: Final answer
    x = 2,060,533.68

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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.