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Finding the Third Proportional to 460,836 and 943,815

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Solution

The third proportional to 460,836 and 943,815 is: 1,932,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,836 : 943,815 = 943,815 : x
  2. Step 2: Convert to fraction form
    460,836/943,815 = 943,815/x
  3. Step 3: Cross multiply
    460,836x = 943,815 × 943,815
  4. Step 4: Simplify right side
    460,836x = 890,786,754,225
  5. Step 5: Solve for x
    x = 890,786,754,225/460,836
  6. Step 6: Final answer
    x = 1,932,979.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.