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Finding the Third Proportional to 434,676 and 946,581

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Solution

The third proportional to 434,676 and 946,581 is: 2,061,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,676 : 946,581 = 946,581 : x
  2. Step 2: Convert to fraction form
    434,676/946,581 = 946,581/x
  3. Step 3: Cross multiply
    434,676x = 946,581 × 946,581
  4. Step 4: Simplify right side
    434,676x = 896,015,589,561
  5. Step 5: Solve for x
    x = 896,015,589,561/434,676
  6. Step 6: Final answer
    x = 2,061,341.30

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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.