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Finding the Third Proportional to 434,715 and 921,766

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Solution

The third proportional to 434,715 and 921,766 is: 1,954,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,715 : 921,766 = 921,766 : x
  2. Step 2: Convert to fraction form
    434,715/921,766 = 921,766/x
  3. Step 3: Cross multiply
    434,715x = 921,766 × 921,766
  4. Step 4: Simplify right side
    434,715x = 849,652,558,756
  5. Step 5: Solve for x
    x = 849,652,558,756/434,715
  6. Step 6: Final answer
    x = 1,954,504.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.