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Finding the Third Proportional to 434,052 and 946,512

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Solution

The third proportional to 434,052 and 946,512 is: 2,064,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,052 : 946,512 = 946,512 : x
  2. Step 2: Convert to fraction form
    434,052/946,512 = 946,512/x
  3. Step 3: Cross multiply
    434,052x = 946,512 × 946,512
  4. Step 4: Simplify right side
    434,052x = 895,884,966,144
  5. Step 5: Solve for x
    x = 895,884,966,144/434,052
  6. Step 6: Final answer
    x = 2,064,003.77

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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.